I think Chayka holds blame even because he did nothing post-trade, even after the wheels fell off.
He might not have had the clout with ownership if they viewed it as his fault. If they asked him to play out the season with Tocchet, firing Toc isn't an option.
Chayka doesn't deploy the players, get them up for games, coach the PP, manage lazy players etc... that's all on Tocchet and it was all on display during that slide, to the point where Tocchet looked dazed and confused in the postgame.
No evidence supports keeping Tocchet and letting Chayka go. Either the coach goes or a full reset happens.
You've also got the testing-gate percolating quietly in the background.
Doesn't help but is likely a nothingburger other teams that just want to torment the Coyotes ran up with the league. Hard to imagine a GM risking everything by openly violating a clearly defined rule. If it was an open and shut case, we'd have heard by now.