This is a simple idea really.
Just rag doll death. Instead of the robots becoming stiff like a statue and standing still they should instead fall down and scrap up the floor instead

I've heard Erik say somewhere on a stream that coding that sort of thing would be very tedious and challenging, so I don't think it'll happen, especially with the slicing mechanics we already have.

weather it was hard to implement or not, i think this is perfect.
you kill bots by hitting their fatal spots which are areas that have their important hardware in store, the moment you cut off the power supply for a machine it stops, just like in the game.
besides, isnt it awesome that you can furthermore chop down the head of a hammer bot that almost costed you your whole run?
or kick off the body of the last robot in lava after slicing its head off clean?

The reason the robots go stiff is because the motors stop. When there is no input for the motors, the motors lock into place, unless they're a hinge motor, in which case the motors rotate freely. I'm guessing that they're using normal motors though.