I think it depends.
If not, what is the reason for the 'Bites?' field being included on their rap sheets on the rescue site? Just telling you what I know. BRAT was fully aware that the family fostering Tucker had bite issues with him because that is why they put him up for adoption. They were having a baby and didn't want Tucker to eat it after having bitten a 14 year old kid and Tucker's Dad.
Tucker didn't bite BEFORE they moved and she got pregnant, however, so it could just have been the change in his environment. Either way, they knew and they told me.
Go to the BRAT site and look at the dogs there. Look at Dune, Leo (of Leo and Ruby), Ginger, Bobo, Tahoe and Larry. All listed as biters.