In this economy? Good luck

And what makes you think Philly can or would want to absorb that contract?

They will clear some cap getting rid of Ghost and some other casualties.
Then they will most likely try to go after Laine and Pietrangelo and will fail.
So then they will need to do something (and they surely need to do something more) and will add Burns.

After Burns was part of the welcoming crew to the new draftees on the Zoom calls, going to say that there's slim to none chance that he goes anywhere.

Flyers aren't taking on $8 million a year for a 35 year old Burns for the next 5 years. They need to re-sign Myers (say around $3 million) leaving them with around $5.5 million. Assuming you can find a partner to trade Ghost and not take any salary back (pretty big assumption with the flat cap) that frees up $4.5 million giving them $10 million this year. Adding Burns puts them at $2 million to add a forward which they might be able to do. The problem though is next year when Sanheim, Hart, and less importantly Laughton need new contracts. They are not in a position to take on a contract that big for that long without San Jose eating part of the contract or salary going the other way.