Yes and no.
You see, "private property" was a step up from Feudalism. It allows you to own things. For example, the Web disrupted AOL, MSN, Compuserve, cable channels, radio stations, journalism, etc. But then, people started to just make their own "private" sites bigger. "I built it -- I own it!" OK, so Mark Z owns facebook, Jeff Bezos owns Amazon, and so forth. Our public discussions take place on "privately owned" platforms (really, owned by Wall Street bigwigs, but even they can't vote Mark Z out, they try and fail every year).
So basically the current system has led to a bunch of surveillance capitalism. That iPhone and Kindle can yank the apps and books you "own" out from under you. That Alexa and Siri listens to whatever you say all the time. That car you "own" will also soon have a bunch of software downloaded to make sure you are limited in what you can do -- which is probably the scariest thing because some sleeper attack can make all cars suddenly crash into gas stations at once.
In short ... your ideas of "private ownership" work on a small level but then you get these large corporations that continue "owning" things, and not giving them to you (infrastructure, backend software, AI data sets, you name it -- even "intellectual property" of patents and copyrights).
This IS a feature of capitalism, that we might want to rein in. Perhaps there should be a principle that courts would enforce private property less and less when it came to scale. So on a small scale (enforce my right to chattel property, my first 3 houses etc.) it's fine. But just what does it mean that I "own" 999 houses, and see no lessening of my ability to evict people ACTUALLY living in the house as squatters, just because I contracted with a bank and some "People with Guns" to enforce some "deed of ownership"? The land used to belong to some natives hundreds of years ago, or some other group that the current group just "took" from them. What moral system are you going to appeal to, that would allow unlimited private property ownership? Even John Locke's "homsteading" concept had a "proviso" saying that you should only own that which you can reasonably use. Even Adam Smith writing about the "invisible hand" was actually writing about how the Rich are led by an invisible hand to distribute goods equally (in his time) because they can only eat so much.
We see this pathology in online systems as well. Just like Bitcoin and Ethereum allow sending unlimited amounts of money in a fixed time for a fixed fee, this necessarily causes a bottleneck somewhere (proof of work miner, for instance, or everyone storing everything, leading to "flash loans" and other crap on the "world computer"). Actually, they charge the maximum fee for every transaction (even sending 5 cents) because the entire network secures everything. It's built for really huge transfers.
It can be summarized like this: "Centralization is bad, and happens through enforcement of some rules. The resources to enforce rules should therefore not be deployed for unlimited value of ownership by accounts, they shouldn't even be centralized (e.g. proof of work mining elects one "consensus leader", or Facebook has a huge centralized server farm) to the point that you get these pathologies: the elites at the top are out of touch with the people who are ACTUALLY using the products / services. Same with politics / states / etc. Keep it decentralized whenever you can.