Not seen any real detail about GE real time monitoring of AF447 engines, but by 2006 they received "thousands of data messages from aircraft each day" with >9000 aircraft monitored
http://geaviationservicesolutions.co...006/v06i01.pdf
I would be surprised if it was much more than the AF ACARS maintenance reports, with regular 10min status plus increased reporting 'by exception' and full data uploads when in airport (but even there I am not sure WIFI would have enough bandwidth?).
Of course 100s of parameters could be recorded every second and a DVD's worth per flight BUT as per discussion about FDR streaming this is not currently feasible/economical via satellite - and surely even less so when F-GZCP was designed/certified?