No one seems to ask the basic question: What's in it for Sweden???
I don't see how any clubs in Sweden would gain anything from any possible Nordic League scenario.
They have one of the few well functioning promotion/relegation systems in Europe (yes, there are a few others as well). Why would they spoil this by inviting other nations clubs into the SHL? They can't even do that. SHL has a very smart construction where the clubs own the SHL by parking money when promoted and loses their ownership (and gets the money back) when relegated. Why would Leksand, Karlskrona, Timrå, Malmö, Rögle, Västerås and which other teams you would consider bubble teams throw away these possibilities for foreign teams?
And which Swedish teams would have any interest in participating in a Nordic Satellite League with much less PR value than SHL? It would be even more costly than participating in SHL, but with much less attendance, relevant TV coverage and revenue.
If we go lower in the ranks to find a Swedish team that might have interest, they won't be able to afford it. They play a local system in Division 1 to cut travel expenses. If they could afford participating in a Nordic League, they would have a budget allowing them to aim for SHL, so again: Why choose this rather unappealing Nordic League?
The only satellite possibility I could imagine would be perhaps clubs nearby Denmark like Limhamn, Pantern, Helsingborg or Kristianstad possibly joining the Danish league. I don't think they would actually want to, but just leaving a door slightly open because it could make marginal sense on the expense account, although the trips to Jutland probably would be enough for them to say no. And also the Danish clubs probably also wouldn't have any interest in this.
I don't know if any Swedish or Finnish clubs might say yes to a Norwegian invitation, but my guess is: No. Also the Norwegian clubs probably wouldn't be interested in giving the invitation anyway, unless - for whatever imaginary reason - an attractive club would be ready. Perhaps the chance is slightly higher than in Denmark, but I don't see it happening.