Random NHL franchise relocation question

If the future of the Phoenix Coyotes is up in the air (and it is, including reports of them being purchased and moving to southern Ontario), would it not make sense for the NHL to, you know, offer the team back to a Winnipeg buyer, first?

As a former Winnipegger, I'd love to see the team that was once the Winnipeg Jets before relocating to Phoenix back in the NHL as the Winnipeg Jets once again.