> A common misconception is referring to the entire tower as Big Ben, when in fact, that's just the name of the bell. Andrew clarified: "So it's The Great Clock inside the Elizabeth Tower that rings Big Ben."
Technically I guess yeah. The tower that used to be called the "Clock Tower", is now called "Elizabeth Tower" yet it's also true that the de facto nickname for the entire tower is "Big Ben", even though technically that is the name of the bell, not the tower itself.
Big Ben is the bell not the clock.
Is the fact that the name originates from a bell, and that the official name for the tower is different, interesting? Maybe. Is it worth “correcting”? No, for the same reason it’s not worth policing people’s use of “Google” to mean “Alphabet”.
I also reject your premise this is anything similar to referring to Google/Alphabet as interchangeable.