Meaning on good ole' paper, or in a government database somewhere that you have no visibility or access to. Is this preferable to an ownership record that you, the gov, or anyone else can verify from your phone?
We trust online brokerages to maintain our ownership on securities with databases alone, but those are heavily regulated. The government isn't likely to enact regulation on baseball cards and action figures either.
So for safety we're pretty much down to paper documentation and a cumbersome sale process. That's slow and expensive, which is why rich people do it and regular people don't. Until now.
I don't see why people think blockchains have to exclusively do new and unprecedented things. It's productive to do old things more efficiently.