I own 2 x-bolts, both with synthetic stocks, and 1 Tikka T3 with the wood stock. All 3 rifles shoot very well. With each of them I've had groups where 3 shots were touching at 100 yards. But that doesn't happen EVERY time with any of them. But they're all very good shooters, and I've taken game with each one.
I don't like the feel of the Tikka T3 synthetic stock. I owned one once. Got it on a trade, but I traded it again to get a push feed Winchester 70 XTR Winlite. It has a McMillan stock from the factory. I'm happy with that decision.
The x-bolt synthietic stocks have the Dura-Touch grippy feel. I like that a lot. But the wood stocks for these guns just aren't appealing to my eye. Just a preference thing, but I don't like the X-bolt's wood stocks. They just don't look right to me.
But the Tikka T3 Hunter I like quite a bit. I like how it feels and how it handles, and especially how it shoots. And my shroud did break, and it now has a metal one from Flick, who is a member here at CGN.
If I could find a good deal on a used T3 lite with the stainless barrel and plastic stock, then put on a Bell and Carlson stock, and replace the bolt shroud, then I'd likely be happy with that rifle.
But without all that, for me, the decision between these two brands comes down to whether I wanted a synthetic stocked rifle [X-bolt] or a wood stocked rifle [Tikka].
That's just my opinion, and it's worth about exactly what you paid to hear it.