I have the same problem too and also when they handover to ambulance crews they don't transfer from there either and just sit there and won't transport!
Yeah, ive seen that too.
EPIRB Activation (Marina) - Transport patients
Bug report up for that as well. And that one is getting old. The issue is the Marina EPIRB mission the ambos transport to a Lifeboat station isntead of the hostipal and then they just get stuck there. They just need to change it so that the patients on that mission handle like any other instead of it being a lifeboat mission needing patients taken to drop-off point first.