Merriam-Webster agrees with what I said:
“Testimonial evidence indicates that references to (and calls for) “impeaching” a public official are commonly understood to refer not simply to charging that official with misconduct “before a competent tribunal,” but to actually removing the official from office. “
https://www.merriam-webster.com/dictionary/impeach#usage-1
Well then, that’s good enough for me! Thanks, Pelham.