As the Father of Digital Submarine Combat Systems based on the ones-complement AN/UYK-7 computer I can tell you that there were computers with negative zeros. They worked quite well, except for the lack of a parity bit.
When I was a young Marine calibrating PMEL, digital test equipment, multimeters, etc. was just beginning to come into general use.
When calibration required adjusting a display for ‘zero’ I would adjust them for the negative sign to just be flickering on-off-on-off, so I knew the ‘true Zero was in there somewhere.................😎
The operative word is “were”, as in past tense. Ones complement faded out long ago for obvious reasons.