You are making an argument for strict enumeration, in other words that officers can only be removed via impeachment because it is the only removal method explicitly listed in the Constitution. That argument was formally rejected by SCOTUS in 1926[1], and really only in force for lifetime appointment judges today.
The current SCOTUS has demonstrated that precedent set by previous SCOTUS rulings can be disregarded and overturned fairly easily.
The head of the Judicial Branch operates on vibes and bribes now.
I'm far from being versed in this, but when I read the wikipedia article, it's about whether CONGRESS can dismiss someone without approval of the president, not the other way around.
It also cites https://en.wikipedia.org/wiki/Parsons_v._United_States
Which DOES say something about whether the president has the power to dismiss, among other officials, district attorneys:
https://scholar.google.com/scholar_case?case=755666055204146...