While I like the idea of that in theory, I have to say I think it's operating on the somewhat flawed premise that tone and other flourishes offer no informational benefit. I view tone as a "hint" for the context of the surrounding statements, and as such, it can alter the interpretation of them. This is useful for efficient communication.

I think Crocker's Rules will help people will communicate the correct information efficiently, but I don't think it's necessarily in the minimum amount of time, just a better average case time. It's probably very useful in situations where the shared social context of the communicating parties are distinct enough that the hinting provided by tone is misinterpreted, which can be common on the internet, where disparate cultures clash and there's no visual channel to additionally help communication.