I think that it is safe to say that more often than not barrels interchange without trouble on M41s. I have several barrels and they mix and match freely with two older M41s.
In watching this forum and others some people occasionally report problems, they seem to be in the minority.
There is no guarantee but S&W designed them to interchange. It is fairly easy to fix the problem, but without experience and the proper files it's best left to the professionals.