Makes a lot of sense, though I'd say that implementing a "save on exit, delete upon resuming" should be a higher priority than it usually is in games that like to restrict saving. Having to stop and do something else might mean a lot of wasted time, and I think that not being able to drop an anchor point to come back to would be a possible dealbreaker for some and really hamper enjoyment of the game for others.
There have been a good few games where I wanted to play them, but didn't because I wasn't sure I had the time to make real progress, or that I'd make real progress, but have to stop just before a save point, and lose it all. It can mean that an otherwise great game gets left on the shelf in favor or something that better respects my time.