Assuming no bladder infection, urine is sterile when it is emitted, but what happens after that can get pretty scary. Still I'd prefer not to get peed on or share a rinse bucket. In a similar vein, out of courtesy I try not to use my pee valve during air sharing drills even with a long hose.
Bacteria is everywhere and I agree that you will find harmless bacteria in/on just about everything. The experiment would have been better designed had they sampled the water being used to fill the rinse tank before it was put there (since the tanks were observed beign filled on some days, a sample coudl have been collected from the source.)
It also would have been useful to sample the "empty" tanks to see what remained. Beyond that the assumption that contamination would increase throughout the day was probably valid, but logic woudl indicate that the results would be confounded by left over contamination from the day before and a lack of emptying, disinfecting and drying of the rinse bucket over night.
Personally, from a gear maintenence perspective, I think rinse buckets cause more problems than they solve. The snot, drool and urine issues aside, the water gets progressively more brackish as the day progresses and the effects of a brief rinse are marginal at best. You'd be a lot better off just rinsing/soaking your stuff in the hotel room bathtub at night.
Also, things tend to be rushed at the rinse bucket so dust covers are often left off, or more subtly no one checks to see if the o-ring on a hard plastic dust cover is even still present so water intrusion into the first stage is common.
Rinsing the gear with a FW hose while everything is still connected to the tank and pressurized is also a good option if a dockside hose is available or if liveaboard FW supplies allow.