This response may have been 72hrs after the actual event, but that is in no way 'slow'.
There are two key drivers for that timeline:
1. Diplomatic clearances. It may come as a surprise to many that we can't simply turn up to pick up our own from a foreign land.
2. The primary driver; patient condition. Moving a critical patient from an ICU to an AeroMed ac and then back to ICU at the far end is no mean feat. The patient has to be declared stable enough so that the move does not endanger them. This can take days or even weeks.
No doubt the crews/CCAST team were ready and waiting as needed but all of the pieces have to be in place first.