Wolf3D had lives. Doom had pistolstart on death. Shock had restoration bays. Underworld had the sapling. All of these also had infinite saving at will. Naturally, the players chose the option with no downside, completely nullifying the games' unique elements and any sense of tension along with them. What I'm saying is I think it makes total sense to restrict saving. Doesn't always work, but worth trying.
If it arouses you to play without saving that's cool, but the point is I've been quicksaving in shooters since Wolf3D so the idea of removing that to be "old school" is ridiculous.