Another point is wallets. If blockchains are interoperable you could store as many currencies as you want in single wallet and exchange them on the fly from one to another. Sounds good to me
I´m not really sure if interoperability of blockchains is a requirement for this.
There are already wallets like Jaxx that support a lot of different cryptocurrencies:
https://jaxx.io/features.htmlJaxx is your wallet for Bitcoin, Bitcoin Cash, Ethereum, Ethereum Classic, Litecoin, Dash,
Zcash and a long list of other blockchain assets and cryptocurrencies.
I see another benefit for individuals, who need or want to disguise the origin of their coins.
If blockchains are increasingly interoperable it should get a lot easier to mix coins by simply
making a few transactions around a few different blockchains. This would be particularly attractive
if the cryptocurrencies with a focus on privacy would be part of the interoperable blockchains.