Unlike most audio files that we see, MP4 video files generally come to us quite clean of junk META data. It seems that video editing suites are less prone to insert junk data than audio mastering/transcoding software. One notable exception is ClipChamp. This video editor does insert a junk advertising tag and does so right in the comments fields that most people can readily see (even with the paid version).
Hence, if your videos were professionally created, you might be safe foregoing the cleaning/stripping prior to the embedding of the MP4 videos with the video ISRC, UPC, video title, artist, etc. If, however, you are unsure of how your videos were created, it may be safer to just strip them.