That's sort of a gatekeeping, "no true Scotsman" question. Sure you could claim to be a communist and still be a landlord, and people might still call you both while others disagree entirely.
But there are unrefutable facts though. Like saying that one cannot call a dog “cat” due to “gatekeeping” and “no true Scotsman” is always funny for me. But, I get what you are saying, but to me definitions matter 😂
In this comment, I declare that cats shall refer to 🐕 and dogs shall refer to 🐈.
As we all know, dogs meowing is normal behavior, but can you imagine cats meowing? That would certainly be strange.
Even if you have a hard time reading my comment, you understand my intent, although you probably would appreciate it if I didn’t define terms this way.
Similarly, OP could define communist landlords out of existence by declaring their definition of “communist” excluded landlords “by definition” and this is “irrefutable fact,” notwithstanding that the accepted definition of “communist” doesn’t require you aren’t a landlord (notwithstanding the hypocrisy in doing it)