Volume and tone....
As the studio engineer, your job is to coach the singers and pay attention to things such as position in the room, how far they are from the mic.... distance in inches from mouth to the mic, if there's a pop filter, if the lava lamp was on or off.....always be sure it's on, and even to how they are singing. If it's a bad day for them, it's your job to call it a day. Most singers will try to push on, but you should call it a day if they're not getting the singing right.
A singer, even an amateur, should be able to get the same tone and vibe from one day to the next. They should be able to do a take on Monday, and come back Wednesday and do a punch in that is essentially the same and requires no EQ fix. In other words it should sound like the same session and like it's one take. This assumes that they are not sick and are properly warned up vocally. If they take a break and come back and stand a few inches off from the last session, that really should not be a factor.... I can see if they are 6 to 12 inches off, yeah, you can hear that. But again that goes back to how professional they are and how observant you as an engineer are. I like to tell singers I work with to stay within an inch or so of the pop filter, and I set the pop filter where I want it... That keeps them in the area within an inch or two. A pro will do that without needing to be coached and will pull back for those power notes. And... if they come back from a break and sound different....call it a day and reschedule another session if possible.
Using envelopes is one thing.... I use them to adjust the volume of tracks and of takes and to push certain words or pull others back.... but to rely on plugs as a substitute for poor engineering is not the way to go. Get it right going in and your life will be so much easier.
If there is a noticeable difference in the tone from one session to the next, you need to find out what has changed and make the proper corrections. Doing a completely new take is an option if you can't figure it out. I have done that more than once with guitar tracks.... I don't often write down my settings and if I have worked on something else, the tone is subject to be really different. That's one of my shortcomings. But you're talking about vocals so that is a totally different topic. I've done vocal punches a week apart and couldn't tell the punch in after the fact.
Anyway, that's my 2 cents.