On the tikkas they're all the same so no difference, on the savages the actions are brutally long, requiring extension rings for most scopes. The savage long action is harder to cycle on the shoulder because of the length.
I’ve only owned one short action rifle, which was a Rem. 700 BDL in 6mm Rem.
It, IMO, maybe should have been a long action though. After I’d gone to the effort to establish an ideal seating depth for 100 gr. Hornady bullets, I found the loads were much too long to function through the magazine, so I had had to scrap that idea and just make the cartridges fit. It shot pretty good anyway. I wonder if that limitation would apply to loading heavier bullets in the .308 as well. In my Rem. 700 CDL 30-06 even 220 gr. Hornadys can be seated way out without contacting the lands, so I just brought it back to the point where the bullet base is flush with the junction of case neck and shoulder, then the bullets are held securely by maximum neck contact without intruding on the case capacity. Right or wrong, it seems to work.
I imagine if you got really used to shooting short actions exclusively the long ones might seem cumbersome. I’m just more used to the long actions, so they seem pretty natural.
Just for interest I roughly measured a couple of things on 3 of my rifles, all long actions:
Bolt travel- 2008 Rem. CDL 30-06: 4.87”, 1965 CIL (aka Savage 110): 4.56”, 1991 Win. M70 Super Grade .270: 4.54”. The dates were when I bought the rifles new. The Rem. short action, had close to an inch shorter travel, I think. It isn’t functional anymore.
Approx. centre of scope bases are respectively- 5.28”, 5.5”, 4.55”, and the Rem. short about 4.33”. So scope tube length is more of an issue with the long actions, with the Savage being the longest stretch, as you mentioned.
Scope tube lengths vary quite a bit too, My Leupold Vari-X III is about 5.2”, whereas my Bushnell Elite 3200 is around 6.6”, making mounting a bit easier. But then you have to try to adjust the scope position to your liking, forward and aft, as well. There is a pretty good selection of quality bases, including reversible, which will accommodate most actions and scopes, though.
Cheers.