we can have only a limited amount of tx everyday... Limit already reached today with maybe 1 million bitcoiners! So how do you want to reach teh billion? That's impossible!
Did I miss something?
1. Limit is reached today thanks to the tons of dust due to low fees
2. Anyone can build systems on top of bitcoin to make instant and almost free transactions for micropayments and not only micro.
Well I don't have quantitative analysis for your one and didn't understand your two so...
Anyway limiting the number of tx everyday is a bit strange. Why not setting no limit but imposing a high fee? I don't care to pay a high fee, what I want is that bitcoin is used and might replace fiat one day!