I haven't heard of any of those either, I have used phpbb, mybb and smf. To be honest I think they are all great but it depends what you will be doing to which is best in my opinion.
InvisionPower Board is by far the best, however it's expensive. Out of the free ones, I'd use myBB or iBB. However if you are using auto-script installers like Fantastico, they generally only offer phpBB, which isn't that bad really.
InvisionPower Services now have an offer, and for starting at 10$ a month (the standard shared hosting cost) they'll give you 1 GB space, 5 GB data transfer, and a full InvisonPower Board license. Admittedly the 20$ set up fee stinks. http://www.invisionpower.com/hosting/community.html
I'm tempted to go for it myself, as IPB is a really good software, but you can get other hosts that are much cheaper, and you can just install one of the free softwares.
He didn't say forum software he was web server software.
The keyword is Server. Each website or host has to run on a Server right? Well the ones he listed in the poll are servers not web hosts such as IPBFree,Invisionfree, & Zetaboards.
Also i think Apache is the best.