How likely is that the AAIB chartered vessel will attempt a recovery? How feasible is it?
According to my chart of the area, the depth is circa 60 metres at low tide so it wouldn't be necessary to use flotation bags. Geo Ocean 3 has a deck winch and a frame winch, both of which would hardly notice a 1 tonne('ish) load at that depth so I am pretty sure the AAIB will make a decision to lift unless the families say otherwise. If they were mine and I knew the lift was relatively straightforward, I think I'd want them back.
The aircraft is also not in 'international waters' in the strictest sense. On a navigation chart, the water in that part of the channel is considered to be UK - albeit pretty much right on the border between the two countries.