This Punisher fought DD pretty evenly, and DD was fighting supernatural ninjas and the Black Sky (who beat all the defenders). Outside of suits, I'd give him the easy edge.
Bats in his suit that was taking sustained gunfire and tanked that brutal glide/fall from the sky scraper though? Legit all he'd have to do is protect his jaw. No way Punisher is damaging him through that armor.
Batman was able to take a hit from an overpass while moving at high gliding speeds AND survive the rough tumble afterwards all with no broken bones or even noticeable injury. His damage soak is very high also.
This one all depends on the terrain and circumstances of the meeting, could go either way tbh