You're probably right that there, but reality is I think its very possible. Greene is brutal and his leadership has proven to be an absolute myth for years now.
But he does have 1 skill valuable in the postseason and that is penalty kill proficiency. If Lovejoy got a 3 + roster player don't think its nuts that Greene would get a LATE 2 from a contender. Based on nothing but speculation, I think the Islanders could be a fit with the Lamoriello connection and the proximity to his home and family may make the waive an easier call for him.
Simmonds does stink, but as other posters have pointed out, if Boyle is a 2, Simmonds could very well be a 2, 3 at worst.