Merriam-Webster, OED, Wiktionary. (If you have a preferred dictionary not on the list, I’m sure you can look there yourself.) All of them have some variant of “to pass through” as the primary meaning of to transit and “to change from one state, place, etc. to another” as the meaning of to transition.

And I didn’t claim that quest and question had a similar relation as transit and transition in meaning, only that in both cases, the two words have the same etymological root. I mentioned this in reference to your claim that my opinion was not supported by etymology. It doesn’t have to be, because etymology doesn’t dictate the current meaning of a word, it can just try to explain it.