I just hate the waste it produces, even if it's "just" paper filters. I use a regular mokka pot, on an induction stove it literally takes <60s to boil, the whole thing is made out of stainless steel so takes 5 seconds to rinse and use again.
It's a minimum of a full minute even if you are Commander Data. Be real.
Trying both I came to the same conclusion. I reuse a filter ~5 times. Bonus: you don’t need to “burn” the filter every time to remove paper taste, and after a rinse you can just leave it in the filter holder to dry so it’s ready to go immediately.