In my opinion:
The reason they didn't oust Joe as President and allow a succession to take place is that Kamala isn't qualified to be President (her parents weren't citizens when she was born) and this would push Mike Johnson (R), who is Speaker of The House as President of the USA.
Thoughts?
Bathhouse went through the election process and his mother was a citizen. So the argument was weaker with Bathhouse.
Neither of Kamala's parents were citizens when she was born.