I've got a pile of Winchesters, from most era's. Pre 64 thru present minus the newest ones from FN. I'll be getting more I'm sure. I'm a Model-70 freak, so its pretty much certain.
I have one Model-70 long action being converted to 300 WSM as we speak. My first "custom" or "semi custom". Not hard at all to find a smith who will work on them. Not hard at all finding an ABUNDANCE of upgrades, parts, stocks etc. So many, that its hard to make up your mind which ones you want.
A lot of smiths like having a removable lugg on the Rem 700 strictly cause its easier to work on. I prefer to have an integral recoil lugg, because its less hassle to have your action "trued" & imo a better platform for my needs. I prefer the three position safety, bolt throw, & overall feel of a Model-70 to any other I've handled. Unless its a full on custom action, I'm sticking with Winchester Model-70's for all my builds.
Thats not a slam on Rem, its strictly my preference as well as many others. Obviously Rem 700's are great platforms or else there wouldn't be millions of semi customs made on that action. Some folks prefer one over the other.
As for Savage, & Tikka etc...
Well aftermarket support for Tikka is non existant by comparison. But I here good things about thier rifles from some members here.
Savage is just plain cheap. Cheaply made (but accurate), cheap feeling, cheap to play with, cheap to build etc so of course there's gonna be a market for folks wanting a good shooting semi custom on a budget. There are quite a few Savage fans here too.
It all comes down to personal preference, taste, expectations & money. Put em all togather & now you've got a whole mess of opinions on what's better & why. In the end its up to you, but Winchester is still a great overall package, while many old makers are slipping, & many many newcomers are clawing thier way to the top with with accuracy & price right where you want it, but look, & feel hideous in the fit, & form department. I wouldn't hesitate to buy another Win.