If you want to buy a bike, make sure it has a serial number (and if the number was filed off, then yes it was probably stolen), and look it up on the index.
How would an NFT be better than the above database in any way?
I do think the bikeindex could be run better (fewer regional websites, a database we can download for archival purposes, sharing of information between multiple registries), but all of those things seem like they're easier and cheaper to do without a blockchain or NFTs.
Rather than do something like NFTs, they could do what the certificate transparency project does, and just dictate "here's the data format, here's how you share data", and get all the benefits I can think of with none of the downsides or ecological waste.
For what it's worth, there is evidence that such a database can be made and work in a similar case, since car registrations, transfers, etc are all quite well handled with no NFTs.