But this is harsh, OP isnt asking whether she should go out with him in general, or suggesting she puts up with everything, she's asking whether the specific behaviour of never asking questions is something to be concerned about, within her overall feeling of being a bit put off.
On the actual question you are asking OP...
There is a famous trope that male friends simply swap information rather than asking questions. The Nick Hornby books of the 90s were all about men listing their top 10 footballers or records as a way to get to intimacy. The recent new Mitchell and Webb comedy series (about 50 year old men) has a spoof called "middle aged man island" where the producers off camera are pleading with the middle aged men to have a conversation, because so far the show is just them sitting in chairs. After much thought they can only do "How are you...?" then the other one replies "Fine thanks" incredibly quickly to shut down further questions. It's funny because it is an exaggerated version of male friendship. David Mitchell elsewhere has joked that "taking turns to mansplain to each other is just normal male friendship".
So obviously that's just a few comedy takes - but the underlying truth is that maybe men are more socialised to turn take in different ways. He might be thinking you are very passive OP because you aren't holding up your end of the conversation by sharing similar facts and opinions about your life. He might be expecting you to simply take the floor and issue information about yourself. This might be exacerbated as you were hobby friends first, so swapping info about cars and music is a sort of natural stance for him in conversation with you.
The person who went on a date and the guy said "so, what else can I say...?" that was a clumsy invitation to take up the turn and take the conversation/information baton.
However, he might just be a dick!! As he's offered loads about himself and his back story, so he should be able to take turns more gracefully. And especially if the way he takes turns cuts you off and he stops you if you start to reply. If you cut in and nod and say "yes, my last relationship ended a bit weirdly too..." He should really at that point let you talk, yield the floor and signal he cares and is listening.
I have quite a high tolerance for info dumping and swapped monologues, perhaps due to living with a lot of ND people though the years, so I don't see it as inherently uncaring that someone offers information. I actually find Sandra and her friend in the supermarket a rather heart warming vignette and I would feel happy to see them do that!
But everyone has their own expectations of what they would need in a partner.