List of Transfers of Power-these look so suspicious. Why is the date and time so precise? Bad guys appear to be up to something. The 7-14-85 transfer to Bush was clearly weaponized to seize power. But were these transfers to Cheney (George HW Bush's close #2 buddy) also weaponized to give Cheney full control? https://www.presidency.ucsb.edu/statistics/data/list-vice-presidents-who-served-acting-president-under-the-25th-amendment
6-29-02 Bush Jr. to Cheney transfer: https://edition.cnn.com/2002/ALLPOLITICS/06/29/bush.tests/index.html
7-21-07 Bush Jr. to Cheney transfer: https://www.smh.com.au/world/bush-transfers-power-to-cheney-briefly-20070721-ozq.html
Cheney wrote a letter to his kids as "President". What else did he do? https://en.wikisource.org/wiki/Dick_Cheney_Letter_2007-07-21
Lots of "Fact Checking" around this topic make is very suspicious, but it needs more digging.
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.