OUCH OUCH and OUCH ! ! !if you have any empirical data showing that, it might be of interest to others on which to make an informed judgment.
No empirical data, just advising the OP (and anyone else remotely interested) to err on the side of caution. Don't do it !
As @BCsailor-skier so consicely put it :
Obviously not. And as he further stated :Is it really such a pain to fill your tanks, say, 1x week?
Chlorinated water has a way of killing the bugs in the water tank. It's only once the chlorination has disappeared from the water that the tank starts looking more appealing to infectants.(A benefit: keeps your tanks fresh and clean.)
The chance of sinking the boat with a water hook-up is small, the outcome of sinking the boat is catastrophic. Just not worth the risk.