No. I'll take atmosphere over your LOLJETPACK.
It doesn't need a jetpack, it just needs something fun to do. Hunting and horseshoes is "please hang me now to end this torture" level of fun and Mafia 2 I'm pretty sure was completely empty outside of the main story. I think it had some token open world car delivery mini game but that's it.
Atmosphere is just some vapid bullshit to make people think they're in some kind of different world than reality. Gameplay > that dumb stuff.
