Bilt has always allowed HOA fee payments.
I have been paying my HOA fees with Bilt as an "e-check" (my HOA payment portal's no-fee option, as it's technically a bank transfer) since I got my card more than two years ago.
The transactions go through fine, even though my HOA sends me two charges every month (HOA fee and my portion of the property tax), even before this bill pay switch. The merchant name even says HOA.