I saw another video
(sorry have no link, but it's all over youtube, it's actually a sales plug for Fender),
where some other guy plays Squier (CV or VM,I'm not sure)
and American Standard,
plugged in.
It's a world of difference in Fender's favour.
I've "analysed" that video, aswell as prices, and came to an idea they may be rather same guitars with different PUs.
I asked about it on Squier forum, and there was at least one person who claimed swaping originakl Fender Tele PUs into that Squier model,
which made sound of two indistinguishable.
Now, I never saw, or heard example of that, but after seeing this video, it kinda fits the idea.