Support.
Don't see any reason why not, if pets are being removed from their accounts, nothing new should be going to them.
Here's another reason. An entrant to my contest was banned in the middle of it. It was brought to my attention, but I would have been upset if I had sent them prize money before realizing that it was headed to a banned account. I actually thought about this before the contest even started, half figuring that if I tried to send anything to a banned account that it wouldn't work. But since it does...yeah, that ought to be changed if reasonably possible.