Sivir doesn't offer similar damage, lol.None of these are really why, as many of these complaints could also be made against other AD carries. Draven's late game is not always great, and you can't guarantee a 2v2 laning phase where people lane swap. Other AD carries like Kalista and Sivir also offer similar damage with increased utility.
The reason why Draven isn't picked more often is simply because he's too much of a high risk champion. It's really easy to just do nothing on him, because of his lower range and low mobility. He has a lot of damage, but it's really difficult to get in with that damage. You can play him super passive, but then you don't really get anything out of it (see Freeze). With so many ways that bot can get screwed over by TPs, it makes no sense to pick a snowbally risk reliant champion.