I think it's a bit of a mischaracterization to mention that the SHL has "a lot of guys who have significant NHL experience" without mentioning that most of them also have even more extensive AHL experience, because they were never good enough to really stick in the NHL (or left for other reasons).
Take a look at the top 30 scorers in the SHL at the moment, that have NHL/AHL experience:
Jacob Josefson: 315 NHL games, 60 AHL games
Nick Sorenson: 5 NHL games, 48 AHL games
Joakim Lindstrom: 150 NHL games, 200 AHL games
Oscar Moller: 87 NHL games, 110 AHL games
Aaron Palushaj: 68 NHL games, 343 AHL games
Mattias Tedenby: 120 NHL games, 126 AHL games
Joe Whitney: 5 NHL games, 450 AHL games
Derek Roy: 738 NHL games, 101 AHL games
Lukas Bengtsson: 0 NHL games, 53 AHL games
Michael Keranen: 1 NHL games, 136 AHL games
Joel Lundqvist: 134 NHL games, 48 AHL games
Spencer Abbott: 2 NHL games, 273 AHL games
Ryan Gunderson: 0 NHL games, 77 AHL games, 156 ECHL games
Matt Bailey: 0 NHL games, 135 NHL games, 6 ECHL games
Jonathan Sigalet: 1 NHL game, 354 AHL games
So exactly 15 of the top 30 scorers in the SHL currently have NHL/AHL experience. Only three of them have substantially more NHL experience than AHL experience (bold). 9 of them have overwhelmingly more AHL (and even ECHL) experience than NHL experience (italics). 3 guys are fringe NHL/AHL players. So, just from this list, I only see three guys I would honestly characterize as having "significant NHL experience" and be comfortable leaving out the part where they also spent an equal amount or way more time playing in the NHL.
My point being, if we label a guy as an NHLer or AHLer based on where they spent the majority of their time, this sample of SHL players would actually indicate to me that the SHL is loaded with players that were AHLers in North America, and also some guys that were NHL players in North America. Plus a few fringe guys.
Of course, this doesn't take into account role players, or defensive defensemen, who wouldn't be atop a scoring leader board. However, If you found a way to isolate those guys, I don't see why the results would be any different.