But bridges I saw until now don't do the automatic cross post between comments from different platforms.

Let's say they bridge but don't do the mirror of the information, and that would be the crucial point IMHO.

Example:

An X users will comment your bridged-note on X, the bot creates an invoice under is comment with amount of sats to pay. If paied the bots will mirror his comment on your original note directly on #nostr, with all data from that X tweet (or not, you could allow anonymous).