They would only be concerned about term limits if it would somehow expose them. It appears they were going through a LOT of effort to make it appear legal. I don't understand exactly how they were doing it, but I believe the Speaker of the House being 3rd in line and potentially being someone unelected (no requirement) may be part of it. We may see this play out shortly.

TDLR: They control who is elected, but not who can be "selected" as Speaker by majority of majority party because the Speaker DOES NOT have to be an elected representative.

They would only be concerned about term limits if it would somehow expose them. It appears they were going through a LOT of effort to make it appear legal. I don't understand exactly how they were doing it, but I believe the Speaker of the House being 3rd in line and potentially being someone unelected (no requirement) may be part of it. We may see this play out shortly.

TLDR: They control who is elected, but not who can be "selected" as Speaker by majority of majority party because the Speaker DOES NOT have to be an elected representative.