OC for you.
Privately owned US companies that make massive profits off the capitalist system, like Stanford, obviously might not describe these things in an entirely honest way. The first definition of communism is almost correct, but the second is a common misinterpretation of communist theory.
The people who solidified communism as a political theory made a pretty clear distinction between private and personal property, as well as what they thought of landlords. Renting requires someone to own the means of production and lend it out to someone at a profit, which goes against the very foundations of communist theory.
Communism isnβt βthe government takes all your stuff and divides it equally among peopleβ either. I suggest reading some theory. Marxists.org is a good place to start https://www.marxists.org/subject/students/index.htm
Stanford is a renowned university. Like all successful universities worldwide, they make money. I copied some of the definition, since itβs multifaceted and long. But, the general concept is there for both terms. The fact still remains, this is a meme and not a definition of one governing system or another. The source you linked is a good one, though. Last time I sourced it, I got banned from a subreddit haha