Why would he share a fake screenshot? What would he gain from it?

If you look closely, it's quite clear that the information has changed in the past few days. Check the archive from way back in May, Tradeogre was listed - https://web.archive.org/web/20250411122215/https://www.lazarusbounty.com/en/

And now it's off the list, also the number of bounty hunters has gone up to 13 from 12 that OP posted. Coincidence?