Lots of almost correct there.
First of all, most current phones top out at in the 9-12W range - which puts them at about a 1C charge rate into their 10Wh battery. It's hard to charge much faster, because the generated heat is hard to get rid of. I don't see phones going past 15W any time in the near future because of the heat - not just from Qi inefficiency, but also heat generated in the battery. Tablets, on the other hand, could likely take advantage of higher charge rates simply due to the larger radiating surface area.
BPP nominally allows up to 5W of charging, but can be driven to just below 10W with a bit of gamesmanship. If you see a Qi charger that says it charges at 10W, it is almost assuredly a BPP based charger. Many phones won't take advantage of this higher rate on BPP because the foreign object detection in BPP is primitive - and you don't want a dime under the phone to heat up from magnetic induction to a pretty cherry red. Kinda hurts when you try to pick it up.
EPP nominally allows up to 15W of charging, but could probably be pushed to 30W using the same technique if the charger supported it, but I don't know of anything that does so. There are big issues with trying to do that when you don't have the fine physical alignment between Power Transmitter and Power Receiver coils that MagSafe brings to the table. EPP has more sophisticated foreign object detection, which makes the higher power much safer.
MPP currently goes to 15W, and significantly reduces heat generation due to the better alignment of TX and RX coils, and perhaps due to the higher frequency (EPP transfers power at 100-200 kHz, MPP at around 350 (360?) kHz). I don't have a great deal of experience with it.
The big problem with Qi 2.0 MPP is that it's incompatible with at least some Qi certified chargers and devices on the market. The embedded magnets that are great at aligning the coils can saturate the ferrite shield used behind the coils, causing all kinds of issues when charging power is ramped up. All you have to do is look at forums where Apple users complain that their non-Apple Qi charger won't charge their phone - of course, recent iPhones are NOT Qi certified because of the magnets, but you can't tell an Apple user that. The Qi committee knows this incompatibility, which is the main reason for the major version number bump on the spec - they feel that the alignment benefits of MagSafe outweigh the loss of backwards compatibility.