As b6graham said, the barrel is not an issue.
To me what the issue is, is which version you like? The CRF, PRF or the CPRF?
Controlled round feed is the "classic". Winchester went away from them in 1964 as they were too expensive to compete with Remington 700's. They had the Mauser claw which by many standards, is the best extraction system ever. I like it, but it's also a pain to throw a case on the feed tray and load it. You have to slam it in to get the extractor over the case rim. In that same vein, you have to get a barrel timed then cut the extraction slot. Some say it's a really big deal, other gunsmiths do not. But, it is a couple extra steps and there is no way to get around a machinist has to do the work.
Enter the "push round feed", which is my favorite. Much maligned by Jack O'Connor as he loved the pre-'64 CRF. it simplified the process by which the action and bolt parts were made. IMO, it retained a lot of the good things the pre-'64 had. The three-position safety and still better extractor than the Remingtons. It dropped in accuracy, because that was when Winchester went to the hammer forged barrels. The fit of the early change-over rifles was not as good as before. But, from a gunsmith point of view, you no longer needed to make the extractor cut, the action bottom remained flat, the recoil lug remained integral, ( both better for bedding, I believe). Anyhow, it was too much change for the voices of gundom and it hurt Winchester's appeal. It was still a better rifle than the 700.
After re-introducing the "Classic" claw extractor, someone in bean counter land decided let's give everyone the best of both worlds. A controlled round push feed. The marketing mistake with this is no one cared whether or not you had to load a round upside down. That's just never been an issue. The real value of the claw extractor was its ability to extract a very tough round to get out of the chamber. The CRPF basically took a PRF bolt face and milled off the lower rim so the case head would slide up the face of a bolt while it was being loaded. Thus fully controlled. But, if you tossed a case on the feed tray, due to the extractor being just like the PRF, it fed without having to slam over the rim.
The problem here is you no longer have the strength of either the CRF or the PRF extraction systems because the boss on the bottom of the extractor piece is tiny. The support it got from the bottom rim was milled away. Nice idea, but won't extract a hard case. It'll break first. I know this first hand.
So, in general, I'd take a Winny over most other actions. With the right work you can make a pre- load singly as well as a post-. If you like the newer CRPF, get one, just don't force rounds into it. That can be an expensive mistake.