It shouldn’t be an issue, but you never know.
I’ve had situtions where people could have chosen to make an issue of it but didn’t. Then there was the one time it was an issue, and they could see I was obviously the person named on both documents but refused service anyway. The icing on the cake is that the bank also has a middle name (of sorts) and doesn’t use it consistently.
No problem of course, I will just never do business there again.