I've never seen this round in this caliber but, if the edge between the conical portion and the flat tip is fairly defined ("sharp"), then the round should cause more damage when slamming into flesh than would a round-nose bullet. The difference would be less than between the RN and a HP, of course, but it would likely still exist.
There are some who believe that HP expansion might be unreliable in this caliber, particularly in the smallest guns for it, and they suggest RN or other solid loads, especially in winter months when clothing worn by attackers would be heavier. Your flat-tipped rounds might very well be a good compromise between the two. If they function reliably in your gun, go ahead and rock 'em.
Incidentally, I do keep a Bersa Thunder loaded, and it was my EDC until I came across a Kel-Tec PF-9. The Bersa is loaded with a HP round, but the spare mag is loaded with FNEB rounds (flat-nosed, enclosed base, kind of like a semi-jacketed semi-wadcutter.)