Can the Ehtereum DAO run on Counterparty?

Since big success for Ethereum DAO I wonder:

Can Counterparty have it’s own DAO with smart contract?

You can see on Github (counterparty-lib repository) and in recent news that the developers are working on releasing a Counterparty-version of Smart Contracts.

I don’t know which particular Smart Contracts will be able to run on Counterparty - there will certainly be some that won’t - but many if not most should be able to run fine (my personal opinion).