IIRC the Jets used paper moves on Roslovic and Poolman to send them down and back up on deadline day. So they would be eligible for AHL playoffs. However that also means that they've used up 2 of their 4 post deadline recalls. Meaning that they could only recall 2 of Petan, Appleton, Lemieux from here to the end of the year to give guys rest, since that wouldn't count as a emergency recalls. Comrie's latest recall should have counted as emergency due to Hutch's diagnosed injury as concussion.
There's also many schools of thought that coming into playoffs hot and with chemistry is very important. And we do often see evidence of that looking at LA in 12, Nashville last year. Constantly shifting around players, taking guys in and out of the lineup can be harmful to that. Of course there are examples of teams backing into playoffs then taking off so who knows.