To the OP...
1) There is no "official" max because it's designed to allow as many takes as your system can handle processing.
2) There have been a slew of complaints about the seemingly illogical way Take Lanes zoom and the max/min height (and I've made many of those complaints).
The ideal solution, that I've been saying since X2 (when Lanes were introduced) is to have all the same height adjusting properties that tracks do as well as a quick way to Show/Hide lanes.
Now as a dude who creates a LOT of lanes I'd kind of like to address some things for those who don't think a good player should NEED that many lanes. When I see stuff like that posted I do find it a little offensive but I think in many cases the people posting that stuff just don't understand certain workflows or are not really producing hyper technical stuff and/or not exploring creatively as much. That ain't a slag at them either... it's just a different workflow/different style issue.
The times I end up with the most lanes is when I am writing. I write a lot of extremely complex riff based stuff that jumps around all over the place, has a lot of tags/lead ins/possible variations. As I work on riffs I'll try out some stuff without recording it then get a starter take down for a section (which may just be a bar or two). Then I'll try some variations at the same spot. Sometimes it's a lot of variations which can end up being a half dozen takes. Then I'll move on to the next section and do the same thing. My tunes generally never have less than ten or so distinct theme riffs and then those riffs tend to all be played differently each time to add extra movement and lead into the next part better. As I do this all I may move parts around, extend things and do all sorts of other crap. I can end up with easily 40 or more take lanes in my "scratch tracks".
Then I'll go through and make notes on everything I like and don't like about certain sections/takes. I'll make a few comps of all that to start hammering out the final version of everything.
THEN I'll practice the heck out of what I decide to be the best version with any new nuances added in (because now I'm getting comfortable with it all and I've had time to sleep on the composition which helps me weed out the crap). Usually that ends up with me recording much larger sections of the song but not full takes just yet. So I may do a few takes of the first third, a few takes of the second third, etc... So again I end up with a bunch of takes... but not as many. Then I start listening for playing issues (so I can improve the performance) and cobble together a "Pre final".
I then usually do it all over again except for the other instruments. For example I will usually start off with simpler drum loops just to write over then once I've got the structure and riffs down I'll record a bunch of live stuff from my padKontrol... and yes, I do comp those MIDI performances... but that's another discussion. Then I'll do the bass and perhaps some harmony guitar or whatever. I use the same process each time.
THEN I'll start recording my finals. I've worked with and performed the song so many times at that point it's like I've been rehearsing with a band (which is the one major downside of home recording... you aren't forced to practice over and over and over again even after you know the parts). Even though I know the material like the back of my hand I still record a buttload of takes trying to make it through the whole song without stopping or screwing up (and I write pretty hard/fast crap so yanno... shiz happens that wouldn't be notice on stage but WILL be noticed on a recording).
This way I never have to punch in after the fact. I go through and make notes on every lane again writing down anything that sound good or bad with time codes so I know where stuff happens until I widdle it all down to the best of the best of the best. I then create multiple comps based on those notes.
Then I go to the other instruments (which I have also repeated that process for) and create notes on everything except this time I compare all the takes to comps I made of the main rhythm guit. So some stuff will work better with Rhyth guit Comp 1 and other stuff Rhyth guit comp 2, etc. I look for tightness, complimentary tone, tuning issues, etc. So having all those extra takes, even if they are all "perfect" on their own makes editing together a super slick end product actually easier then trying to punch in or do wierd timing adjustments or worst of all... not being absolutely happy with the song.
Now some might think that maybe I just suck and that's why I have to make so many takes. Well no, usually by phase two of this process the performances are spot on and totally releasable but like I said... it's like writing with a band in the studio vs. going into a studio with a band that has been rehearsing and gigging on a pile of songs for years. The latter is going to sound WAY tighter and better because it's been played so many times in so many ways that all kinks have been worked out. Since I'm not working with a band anymore (unfortunately) this is the next best thing to band practice and touring.
Anyway... just trying to show how one might end up with a pile of takes. And I was just talking about the main rhtyhm. Solos is another matter altogether. I end up with MOUNTAINS of takes with that because it's all improv at first and then maybe I'll write around some stuff or just keep improvising other things but with a bit of a loose structure in mind based on some of the pure improv I did.
So yeah it would be REALLY freaking awesome to have more logical control over how lanes are displayed and sized. I DESPERATELY want some kind of Hide function and preferably some kind of Take Lane "Manager" similar to the Track Manager that has a Show/Hide notes in the manager or VIA a tooltip for take context (like hover over the take name in the Manager and your notes pop up so you know what it is before "Showing" it). Currently I have to move my comps into a new track to get rid of the clutter without losing the original takes (I also archive the original to save system resources).
Once I get some video screen cap software I'll probably make some vids of some of my workflow. Might make more sense that way as opposed to insane ramblings like above. lol
Cheers.