Why not either just use Bitcoin normally or if you want to have a 'note' then print a paper wallet on some fancy paper? I don't really see the point of your idea. If I want to give someone BTC I'll send them some from a hot wallet on a mobile device.
Well, theoretically, let's just say that a lot of people are starting to use Bitcoin every where in the world, and now it's the new "global" currency for literally everything. Think of how many transactions are going to be on pending on every block in that scenario... I mean we are having somewhat trouble at the rate transaction are going right now, and "normal" people aren't using it.
Unless there is some revolutionary way to make the blockchain handle that incredible amount of transactions in "visa-like" fashion; there is no way to expect everyone to transact easily on the network without paying a ridiculously high transaction fee (which is what bitcoin is trying to get away from in the first place).
Yes actually I thought about this idea for a moment where Bitcoin has become a global currency. Instead of waiting a few minutes to confirm the transaction (and perhaps in the future it will be much longer) it is easier to pay only with this
Bitcoinnotes.