Let me answer with a rhetorical question: would you call writing a check to two parties, or one with two signature lines, "checking 2.0"?
I would find this more confusing than anything. I would expect it to mean a new kind of non-interchangeable coin that works like bitcoin, and is being held out as better in some way, but isn't spendable where only a bitcoin is accepted. Basically an altcoin.
Most people don't even know what two-party checks are. Most people don't even use checks anymore. I think of them as business checks.
I see where you are coming from, but I think most people would interpret it as "Bitcoin 1 compatible" instead of an alt coin. More importantly, it conveys the evolution of Bitcoin itself. Perhaps I am over-analyzing this. Really, very few people have even heard of Bitcoin yet to worry about their misgivings.
I can see how from a marketing standpoint bitcoin 2.0 is like web 2.0
Its an upgrade from the original.
That was my thinking.