I shoot the tikka 270wsm with 110 Barnes bullets. This round is a laser beam. I love it. I do think the rifle has recoil but it is more of a sharp recoil and manageable.
I too love lever actions, both Winchester and marlin. I started hunting with a marlin 30-30 at age twelve and have taken over 10 white tails with that same gun. There is nostalgia there, no doubt.
Tikka is always, in my experience, accurate. The 7mm is stout and it is hard to regularly shoot for groups with the recoil, unless you find someone to install a break. With that said, if you do not shoot much and don’t mind recoil, go with the 7mm. Tikka t3x makes a great gun!