I think if Leicester came calling, Pulis would be tempted.
He's going to have a difficult period between now & the end of the season to keep them up, but they do have some good players, except at the back. If he could get Huth & Morgan to do the same job as GM & Daws, they will stay up easily.
As others have said, Vardy's goal on Wednesday night still gives them a chance in the CL.
What also might tempt Pulis is the fact they they had the funds & chose to buy Slimani, we didn't, so Pulis's preferred choice of Expensive British based players would be more likely to be deliverable at Leicester.
I don't see the Leicester job as poisoned challice, almost everybody recognises, that last years' PL win was over achieving, I doubt that even the Leicester owners would expect that again.
Ranieri was very well backed by the owners, but failure can easily happen when your success is based on emotion, Pulis's approach would be far more mechanised, & IMO, that is the type of Manger Leicester will look for