I'd be cautious about making a judgement about TOGA actuation vs sound tracks.
First, there is a delay do the speed of sound vs the camera distance, then there is the frequency spectrum vs audibility considering that the engines probably were near idle and about 7-8 sec to spool up to takeoff.
At a minimum I would at least display the frequency vs time for the audio track, in order to make a second order judgement.
I thought that I could hear a roll off in fan frequency over the runway followed by a quiet period and then the spool up. This could be displayed visually on some audio software commonly available on computers and then overlayed over digital images from the video if one wants to do some computer fun.