I think the Europeans have had some bad experiences with the communist system so naturally they are not very keen to any get communist influence.
Once China can twist your arm you can be sure they will. Just mention democracy to them and you will see what comes next.
China is an authoritarian ethno nationalist state-capitalist system. They are so far from anything remotely communist. The only thing communist about it is the name of their mono party
Most Europeans do not think about some ill-defined "communist threat" at all. The majority of negative opinions about China stem from economic worries.
Also FYI: the CCP has officially adopted the designation "socialist democracy" for themselves*, so I don't think you're going to bother them much by using that term. You'll have to get more specific about what you think their "democracy" should look like for them to start giving you the side-eye.
* Many places that are not really recognizable as democracies from a western POV do this. People, we have democracy at home!