That's how I did it, and it worked well for cleaning dishes, and making female boaters happy. Just don't spill your bleach bottle.
Now I will do it with Steramine, ordered via amazon prime. I will probably mix in a little heated water to get the temp up around 75F so the tablet will disolve a little quicker. The reason why the final rinse was cold was fuel economy; no reason, per se, that all phases couldn't be hot water, probably that's what your (non female) home dishwasher machine does. Been several decades since I worked a restaurant dish room, but there you use only hot water, almost at steam.