"taking up the previous floor is what damaged the pipes in the first place" - What do you mean? Who took up what, and when was it taken up, and what for?
If pipework is going into a concrete floor, modern practice for water pipework is for continuous lengths of plastic pipe to be set in channels or conduits.
Presumably, allowance was made for removing the apps and base units without disturbing the work top - nowadays, its sometimes the case that householders wish to change arrangements at a later date.
Hence, you could pull units to gain access to the unfinished floor below them ?
FWIW:
1. If all else failed, you could abandon all pipework in the kitchen floor and thread plastic feeds, and supplies to wherever, below the units.
2. Its a simple matter for a plumber to test the soil pipe for leakage if a manhole is available.