Tbh Marx is intentionally questioning definitions and such so it makes sense, simplifying it down to terms we use isn’t very productive in that sense, because what he argues for is the abolishing of “private property” as we know it, but without removing the fruits of labour from its people, so if you and your mates worked for your house you can have it, until the moment you start making a business out of it then it’s less ok.
Thank you you’ve put the difference in better terms than I did