I use a Yale Real Living on my entry door with a handle like that except mine are bronze. What I had to do was buy a combo door handle/deadbolt & just toss out the deadbolt part & use my smart one.
Those are just simple deadbolts so any smart deadbolt should be a drop in replacement.
Only issue I’ve had with my entry door is proper clearance for the bolt itself. With mine I have French style doors (two doors, one is fixed the other opens). The fixed door gives a little (since you can open it too by unlocking it), so the bolt jams at times. I fixed this by filing out the hole a little bigger than normal to allow for the play.