If you want to deal with a lot of smell and a lot of mess and a lot of drying time. Hot glue is super cheap and doesn't need to cure. The advantage to using caulk is zero, unless you count possibly burning yourself with the hot glue.
There are like tens if not hundreds different caulk compunds, enough of which don't smell. I don't understand why there would be more mess than with glue. I'll give you the drying time though, on the other hand most caulk types remain elastic, glue not as much, might matter with regards vibrations. And caulk is easier to apply properly and aestethically as you can use your fingers. tldr; it's fine you're defending glue, but it's not true thare is no advantage at all. In fact looking at these pictures I'd probably go for the combination, or else caulk only maybe in 2 passes, just seems easier to get a full seal.
All I can say is: to those who have never used hot glue or caulk and are thinking of using caulk -- try the hot glue first. You can always pop open the caulking tube if it doesn't work to your satisfaction.