IDK if what I'm saying is stupid but what would have happened if the flight from your home airport gets delayed? You wouldn't be able to catch the flight from London so...would they give you a refund? Or would they have scheduled another flight from London for you to make the connection?
I was thinking that because you are lucky that's the last flight you're transferring to. You only need to care to arrive at the hotel and do the check-in, at most you'll have to wait some hours to do so.
Now if you're staying in the house of a fellow K-ON Gaf member would be another story. And it'd be pretty cool too! ^_^