20,000 Miles is a very good compensation (convert to 40,000 HHonors points), 5000 more required for a free systemwide upgrade, or use an AAdvantage CitiCard promo code for a free domestic RT at 20,000 AA Miles. The taxi was the user's own choosing. There are shuttles to LGA.
However, I *do* wonder how many FF Miles AA will dish out in the long run until they realise a complete reshuffle and training of their near entire JFK staff is in order. My biggest fear is always certain. An EXP being stranded through AA with no help, unlike what CX will do for me as an OW Emerald if a similar situation occured.
Expect this service while concession wages and low morale continue in certain areas (not all areas).