The state of Bitcoin multisig
medium.com
medium.com
There are other issues. For example, Coinbase doesn't support it fully. See this thread for more info: https://twitter.com/coinfabrik/status/661992065841123328 but other wallet services like Coinkite does: http://blog.coinfabrik.com/independently-generating-your-pri...
If I want to spend coins from a multisig address, I create a transaction, sign it with my key and send it to the other party who can sign it and relay it or send it back to me and I can relay it. It's a very simple protocol.
Probably that part.
Beyond this, there is a bigger reason: if you want a risk service like Sig3 or CryptoCorp you should adapt the system to every multisig wallet while if you have an standarized way to communicate you wrote an standard system.
Sig3 is more secure theoretically but its an overkill & non-requirement nevertheless. Why not have Sig4? Sig100 would be theoretically even more secure!
So... how Coinbase handles it, what is the format? Coinkite? Copay? The nth popular wallet? You can easily see that you need a standarization, it doesn't matter if its by email, morse, or slack.
Now, Sig3 is the name of a service, with Sig3 you can use any n-m wallet.