Let us check it again: I understand it is more like "There exist operators in Swiss education who are in a weak position, e.g. for the need to obtain visa which could be critical to perform their job".

It is not that there is not an influence (it could be China as much as many other entities), but given the above it is transversal to the job.

CCP influence in foreign universities is definitely a thing, at least under Xi (mostly aimed at Mainland Chinese students studying abroad, not Westerners directly).

It got to the point where a special taskforce was set up specifically to tackle this issue here in Australia; I'd be surprised if we were the only country experiencing this.