The problem isn't what computer you run it on, the problem is having a computer to run it on in the first place. There are still many schools and many households without computers. The school I went to is still using Apple IIe machines given to them in a grant decades ago.
The raison d'être of the Raspberry Pi is to be cheap enough that every school could have one for each student.
I just read the article and apparently it also has composite RCA. They should advertise that part more than the HDMI, it is more useful for their target audience.
Actually the Window Manager seems to be OK (if a bit blurry). There may be problems with games going full screen for example open-invaders is a few pixels short on my PAL TV so only half of the score characters are visible, dunno if I should fix the display settings or fix the program.
Biggest problem I can see is that Midori as a browser seems to struggle on things like Google+ Photos (This may just be an out of memory and hitting swap problem, I've not investigated)
I haven't thought about what I'm going to do with mine yet (it was a gift from my father). It does come with Squeak so if thats useable on a CRT I may give that another go.
I believe there was a menu option to handle TV's overscan in the text-only interface that appears the first time you power it up with Raspbian installed.
The foundation did say they were planning a whole host of accessories to go along with it, and were hoping the community would rally around some of their own. This likely includes cases, mice/keyboards, and possibly small, cheap monitors.
The raison d'être of the Raspberry Pi is to be cheap enough that every school could have one for each student.