Awesome idea! Will try it out tomorrow.
EDIT:
Scratch tomorrow, tried it now
The names are not saved, need to rename manually

167/56 but of those about 10 on easy.

I am not sure if it'll work, but can you try using fire beam on the weapon room to cause the damage to system, but not to the crew (the other square) then let him put out the fire and repair. Repeat till done.

As far as I know, the closest thing to that is assign autofire for some weapons and just give no target for the ones you want to time. No, still micromanaging, but excessive use of spacebar is what this game is all about anyways.

I have unlocked the crystal on my 104th run, the last 60 or so were unlock attempts.
Just stay with it, you'll manage eventually.
Good luck.