I don’t know anything about the Hornady 44 Mag round that you mentioned but based off stated velocities it sounds like it might be more of a downloaded personal protection round.
All of my experience with Fiocchi ammo is range ammo which is usually a little bit hotter than American made equivalent.
I wouldn’t worry to much about it. Out to 100 yards a 44 mag with either bullet will kill deer dead. My grandma killed several deer with a Ruger 44 magnum and whatever JSP my grandpa could find on sale.
