My main bank, which my pay goes into, is Abbey. I applied for ILR in person, and my appointment date was just after the date that statements (monthlies) were sent out. I thought my statement might still be in the post by the time I was due to leave for my appointment, so I went to my branch and asked if I could come to the bank and get the statement in my hand as soon as it was issued, rather than have it sent to me in the post. I was told they could not provide a statement in the branch; that they would have to order a duplicate statement from the main office in Sheffield, and then have it sent to me in the post, which wouldn't have helped me.
So some banks make things more difficult than others.