Maybe I just can't hear the few ms of audio gaps.
Below is a link to a small snippet (the first 6 min, or 30 .beat files) of time-warp-2013/chris-liebing (Session 002646/Recording 001460) that was concatenated with ffmpeg. Please tell me if you detect any audio gaps;
Code:
001460_FHF.mp4
(uncheck the box before "Use our download manager and get recommended downloads" in order to get the file without the garbage install wrapper)
But you're right that it is unlikely that the downloader or download method has any effect, so long as the downloaded .beat files were able to be converted with BeatConvert.php.