The network pays out 2.6 million BTC per year.
You're wording it like it's a fact. It aims to generate 2.6 million per year, but in reality, it is never exactly 2.6.
Correct. Through difficulty adjustment the network aims for ~2.6 million per year. How close it reaches that goal depends on how close avg block time is equal to 10 minutes. I will update the post to avoid confusion.