I just want a game in the Half-Life style of linear but not painfully so, where every so often before and after major battles you get a full health restore somehow, so during battles you have to conserve your health but don't need to worry about a careless mistake during said battle screwing you over for the next one.
However I would also occasionally omit those full health restores, just to keep people on their toes and from relying on them.
EDIT: I also have to mention, Half-Life 2 (as well as the first) overcame pretty much every argument about non-regenerating health through sheer force of quality gameplay design. It's possible, it's just that devs aren't willing to put in that kind of work. And it is a hell of a lot of work.
Also, this same argument goes for ammo. It's kind of lame to play a game like Uncharted (one of my favorite games of all time, though) where almost every enemy has the same kind of ammo, meaning you're pretty much stuck with AK/FAL/M4/92FS for the entire game, regardless of all the other options available, because once you use up the bullets in that SAS-12, good luck finding any more! Whereas (and I'm still trying to figure out how) Half-Life 2 manages to make it so that no gun is ever useless for long due to scarce ammo, but nor can you afford to be wasteful.