A Nice blog :-)
I understand your attempt to simplify the classification of PPP projects. This is important for people who are still grappling with the concept of procuring the private sector to FINANCE public infrastructure.
Your focus on the FUNDING of such projects is the right focus. There are still too many people, particularly at the highest level of government, who think that private investment doesn't need to paid for by the taxpayer!
I wish you luck in discouraging the use of acronyms. I have two observations, (i) that so-called PPP experts want to make their clients think that they are really clever by using such acronyms and (ii) you will have to re-write an awful lot of World Bank material that is littered with the acronyms!