I flew HKG-NRT-SFO-MRY and my NRT-SFO flight ended up leaving/landing about 45 min late (but with sitting on the runway it was more like 55-60 before we got to the gate). This meant that I missed the baggage drop (I could have got on the plane) for my SFO-MRY connection. While crossing the Pacific I saw they protected me on the 10pm SFO-MRY flight but I had them cancel that segment and I would just rent a car and be down there in 2 hours.
I sent an email to 1K and 3 days later while on my flight LAX-JFK I got a voicemail AND an email saying that I would get a refund for the flight and also to send in my rental car receipt and they would make up the difference in cost.
Segment refund was $35 and the rental car cost me $250 but they asked if I would take a $300 voucher which I ended up taking because I'm about to book a TATL flight.