By the same coin though, platforms placed in certain areas give Falco's recovery options improvements (hence why you hear stuff like Falco's secretly best neutral is BF), because on FD he has only three big options, whereas with plats he can potentially use those plats to help his phantasm.
Although it goes without saying that FD is going to be a campfest, but at the same time the sides/ceiling are nice for Lucario. I'd also consider that Junebug and Lee have both won matches against top falcos on this stage, so it can work for your advantage.
YI imo has a nice surprise of never making falco's phantasm easy to lagless cancel, so if you read the ledgehop phantasm and roll, you'll have a couple more frames to get him, because the stage contours make his phantasm either grounded or he has to fall a little further down.
Brinstar, if you have the balls to take him there, will hurt his recovery a looooooooot. phantasm has to be positioned correctly or he'll pass through the stage and die, so he either has to time it right, use his second jump to reposition, or firebird.
imo worse places to be around falco are faaar away, high above him (although it's a bit of a gamble for both), and midrange when in the kill zone. The best places to be imo are behind him, near him (sorta) in your preferred zoning range, and when he's offstage (obviously lol).