Tokenisation wouldn't mean much, in my opinion.

It's virtually the same as stocks being digitally traded, except there may be advantages in terms of using a blockchain to facilitate transactions, such as the immutability of the transactions. It's not perfectly trustless either, unlikely the real decentralised currencies. Coingecko breaks it down perfectly.

The only real advantage that I can see is if the tokenised shares can be traded on a decentralised platform, which could open up a global marketplace of trading shares without having to physically open an account overseas. That would be tremendously useful for global security traders, in my opinion. But even then, it would lead to a lot of compliance and regulatory considerations which means that it's probably going to be considered by a select few companies with special circumstances.