Perhaps not the general public, but the problem for MEPs would be that evidence against their integrity may accumulate from different cases.

No, Communist are against “private property” where “private property” is specifically defined as exclusionary ownership of the means of production. If it isn't specifically in the means of production, “private property” in sense the term is used in the modern capitalist world is not “private property” as opposed by Communists (in more like what many Communists accept as acceptable “personal property”, which again is different than what that term means in capitalist society.)

And it's not clear to me that intellectual property (or other intangible personal property not representing control of tangible goods), strictly speaking, can be a “means of production” in the sense Communists are concerned about; it's certainly not in the sense of basic Communist theory.

Be that as it may, I don't get your point. Communists opposing private property, therefore I, as opponent of the "law", must be a communist? Please, I expect better from the HN crowd, although not from the insufferable mr. Rohde, MEP.