Hard to say. The last few big NJPW names have made Impact/TNA runs right before their contracts expire (Switchblade, Ospreay, and Okada).
My gut feeling–and it's nothing more than that–is that TNA and AEW aren't on the best of terms. Maybe it was TK’s commercials, the way Sammy was handled, or something else, but I just feel like they aren't too cool with each other right now. For a company that's all about the forbidden door, you never hear AEW mention Impact/TNA.
My memory is a little foggy so don't treat the rest of this as gospel...
Basically, Sammy was supposed to have an Impact run around the time Kenny was there. About a week or two before Sammy was going to wrestle for them, he was told he was going to be booked 50-50 (win some, lose some) and that didn't sit well with Sammy. From what I understand, he thought he was going to go to Impact, win all of his matches, and win the X-Division belt. Sammy chose to not go to Impact at all and ended up winning the TNT Championship shortly after.
Yeah, I don’t think they’re on good terms at all, mainly due to their previous “partnership” not benefiting TNA in the slightest. Plus, at the moment, TNA actually has a little bit of upward trajectory, and I think they’re mainly focused on just doing their own thing for the time being.
I just added this in my original comment but felt like it's worth saying here: I think the fact that AEW scheduled their last two B.O.T.B specials to go up against the last two major TNA P.P.V's (Bound for Glory and Hard to Kill) is a damn good sign that the relationship isn't that great.