Source: Your “palate” is the roof of your mouth, and by extension, your sense of taste.
... Popularly considered the seat of taste, hence transferred meaning "sense of taste" (late 14c.), which also was in classical Latin. ...
Are the quotes above factually right about mouth anatomy (I ask NOT about language here)? Or was this an outdated wrong idea?
Footnote: Did the etymology become corrupt? I heed the Etymological Fallacy.