If you listen carefully you can almost hear a kind of "whip"-like sound effect of the pedal noise.

If I just turn up the volume on the default Pianoteq pedal noise, it sounds "similar", but there is an obvious difference.
In the recording it's got sort of a slow rising attack, and quick decay while the default Pianoteq pedal noise seems to have much quicker attack and slower decay? Not sure.

Maybe I need Pianoteq Pro to be able to adjust this for the pedal only?