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.
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.
Myers addressed a law requiring Senate approval for a removal. The court struck down this law, leading the case to be considered a definitive rejection of strict enumeration. You can read more here- https://constitutionallawreporter.com/2019/05/09/myers-v-uni...
It's not a dream and hasn't been for decades. It's more a problem now because the federal government as a whole has gotten so powerful. Returning power to the states is one alternative.
[1]https://en.wikipedia.org/wiki/Myers_v._United_States