"data sorted not by time (which we know is not reliable, as the timestamp is not from the aircraft)"
It is reported that the stations use GPS to time stamp their data. That means the time stamps should be quite accurate - well under a microsecond error.
Aircraft reported position during an extreme event, on the other hand, could be off, as could altitude and speed. These measurements may be way wrong. Someone here probably knows where the position comes from - is it from an integrating flight computer or from near-instantaneous GPS, for example.
Hopefully the black boxes will lead to a decent reconstruction. Then, it would be quite interesting to see how the FR24 recorded ADSB data looks.