Diane Lindquist Antrim the common rule in Scandinavia is that you can get into medieval if connect to a noble, clerical or statesmans family before you get back to 1600-1650. You need to be a part of these families to find earlier sources about them. A very few of these families can be traced through the Black death at 1350. I have been researching for almost 30 years, and I have only 1 family that can be traced back to before 1350, and that family's traces ends at ca. 1280. It's a bit easier in Sweden and Denmark since they had stronger nobility than Norway had, and therefore more sources about them.
I have no knowledge of the families you mention, so I can't really say anything about them.
If Geni, MH or any other online familytree is your only source for a link between two persons, specially earlier than 1600, and there are no mentioning of where the writer/owner of the information on the online site found his information, ie no sources mentioned, then you should consider the information untrustworthy and you need to check if the information is correct or not by finding trustworthy sources.
Not every curator is a genealogist, and we make profiles MP for different reasons. So a MP mark on a profile doesn't allways meen that all the information is correct. You need to read the curatornote and biography to see if the curator have written something about why the profile is MP'ed. If there is no note, then you should ask the curator whu the profile is MP'ed. Don't make the mistake of assuming that since the profile is MP'ed, then all the information must be correct.
About Sverre being your 3rd cousin 23 times removed, and should you believe it. Maybe/maybe not. I would need to see the line, but in general I would say yes. But on Geni you will also have links to Harald I "Fairhair", king of Norway and the truth is that there isn't a single person living to day that can prove him being an ancestor of him/her. And it is a loosing battle to cut all the paths from people living today and back to Harald on Geni, because like the time between 1st and 2nd world war, it is more important for some people to have the first King of a "united" Norway as their ancestor, then it is having a correct ancestral tree.