Kane is Plan One

Mentioned in another thread, why does Chicago value anything from Edmonton that isn't Holloway, Bourgault, Broberg? Edmonton picks won't have a ton of value, Puljujarvi can walk to UFA in 2024 and Chicago is left holding nothing of value while their rebuild is trying to get off the ground. Chicago has to be looking for long term control of prospects that can grow with the core to 4 - 5 years.

Where are these rumors?

While I think Chicago might get a better offer elsewhere, I also think you are either not familiar with Samorukov and Lavoie, or you seriously underestimate the potential they represent. That package provides a future two-way 2nd pairing LD and a very solid middle six RW capable of providing depth scoring. It should also be mentioned that while both have developed a bit slower than the three Oiler prospects you've identified, they are on track to blossom within the next 1-2 seasons.

bob Stauffer keeps mentioning it in his talk show, Gene Principe also mentioned it on Bob's talk show that Kane is plan one for Edmonton, Gene doesn't usually speak on things like this either

They were speculating and suggesting the Oilers should go after him, none of it is based on validated rumors.