I was just notified of approval of my BA claim for a 3.25 hour delay from SFO to FCO due to fuel pump replacement (Mechanical Issue). This caused me to miss my connecting flight in LHR. I had to spend the night at Heathrow and checked in to Sofitel. My total reimbursement was $884 just for myself. $235 was for the hotel and the remaining was for the EU261 claim. Total time to hear back from BA was about 1.5 months. They also sent me 2 Emails' telling me they were backlogged and working on my claim. Money is to be deposited in my bank account within 28 days. Overall, I'm satisfied with the resolution and just wanted to give some data points to others waiting for claims.