Well, reading the link, it says that the tone recorded was around 15kHz. If that's the case, then chances are it never would've made it onto the final record.
Sergeant Pepper was recorded on a 4-track, by mixing tracks down together multiple times for all instruments. Each time you do that, you lose a bit of high end and low end frequency. That added to the fact that most vinyl in those days filtered anything over 12kHz out would mean that it wouldn't be on the original record at all.
There's an outside chance that there may be a trace of it on a remastered CD, I suppose, but whether or not it could be detected would depend on a lot of factors (those above, plus how it was mixed etc.) but it's a long shot. Certainly, anything off a video's unlikely to do anything.