The first time I used a drive up teller window on my bike was in 1970. I was a paper boy so I'd deposit the collections each week on my bike. The tellers loved it! They'd always make some positive comment.
I haven't used any teller services for a few years now but I've never been denied service . I do live in a small town so maybe that has something to do with it. Actually I was very surprised reading this post that anyone would deny a bike service, WTF is the world coming to?