thumbs, I'm glad you're asking the questions. And I need to make a correction, I use 1.72 as a trim to length. Been awhile, I had to check.
So if you're at 1.733, I wouldn't see any problem as far as shooting them goes. They will stretch a little each time anyway, so no need to trash them on that basis. But, if they are anywhere in the range you mentioned, I don't even see how they could work.
My thinking on the short cases is, if they can cause a problem when you're reloading, do you really want to see if they're going to be a problem when you shoot them? You are right as far as I can figure, short is better than long, but even that has got to have a limit. Case pressure will be the same with the same OAL, but I would be concerned about the neck tension, especially if you are using a boat-tailed bullet. Worst case scenario I can think of would be that you chamber a round, have a FTF or need to eject it, and stick the bullet in the bore. Usually that would easily be caught due to all the powder in the action, but if not caught by a fan of the forward assist, there could be a BIG problem.
I don't know how many cases you have that are short, but I'd say scrap them and just keep things simple. Trying to fix things with work-arounds just isn't worth the trouble a lot of times. Stay Safe!