That is a tricky one. I think it all starts when you start meeting with the band and they should be telling you all this before you even record anything. Then you have at least got the option of deciding whether to do it or not. If I feel like they are going to want the whole mix to sound Lo Hi but Hi Fi mixes are my thing then I don't do it. It is not worth the agony.
(BTW this obsession with making everything sound retro and like it was 40 years ago is BS as well. Everything sounds way better now and we should use the current technology to get the best possible result, now) But you can always learn too. Sometimes combining Hi Fi aspects of a mix with Lo Fi things can work out really great. I have had some of my ideas changed on this and been pleasantly surprised too at the outcome. But overall I still have to feel that I want things to sound a certain way at the end of the day.
Usually a band or artist has picked me because they heard something I did and it blew them away. Then when we get into it and they start taking over the production process. I then have to remind of why they chose me in the first place. I tell them to bugger off about that point and go away.
If you have to leave your name out of any credits then you should have not done the job in the first place. How ridiculous, you do all the work and do the job but cant have your name in the credits. No I would rather be real proud of what I have done and have my name in the credits. It is the much better route. For professionals it means turning things away.
It also depends on how professional the whole situation is. If you are not earning huge amounts
John T from this and just helping them out then yes do it because you will probably learn a lot in the process. At least you will know how to make Lo Fi mixes for example. But if you are being paid well to do a job then in my case I do it the way it needs to be done and my way and I make that very clear right from the start.
Danny might have some interesting things to say about this too.