I got this from following reports and dialogues from American Think Tanks (primarily the Center for Strategic and International Studies). Essentially over the past decade there's been fairly regular dialogue between the British government and China regarding online, radio and publication public engagement.

There's been some British universities, thinktanks and others "accused" of helping China (e.g. https://www.thetimes.co.uk/article/westminster-and-kings-acc...) but from strategy side of the house (at least at CSIS, which is American) there hasn't been a lot of angst or fretting over it. I'll look for some specific CSIS reports.