If I were facing this question I wouldn’t try to answer it without handling both rifles, and an idea of my cartridge preference.
The reason I say that is because my preference for each rifle would depend greatly upon cartridge choice, and the ergonomics of both rifles have influenced the way I shot them.
Funny thing is, all else equal, I’d go with the Tikka in short action cartridges and the Winchester in long action choices.
And even though extraneous to your question, I’ll say anyway, that there are alternatives both above and below the price of these rifles, which you could either (a) buy and swap the stock out for one of your preference for less money, or (b) by the time you spend the money on rifle and aftermarket stock, have purchased a more expensive, nicer rifle in the first place.
Good luck and enjoy!
