There are a few not on their list that work well. Mostly the ones not on their list that work well don't pay them big affilliate commissions so they omit those ones. The ones on the list do work, but also you check how much they pay in affiliate commissions and you will find the ones that pay premium bucks are the ones you see. Hover over the links and they all are affiliate links. I'm not sure what dosdawg pays I think he is a little more down to earth, but the others are $50-$110 per pop. So that see more is why you see them. Granted they do work but there is a little $'s involved to make that list.
Hostgator will try as much as they can to get out of paying commissions. It's possible to talk them into more than the $50 if you know what to tell them. Same with a few others.
The 2 that don't make this list that pay well and on time, without trying to get out of anything are hostmonster and bluehost. I have had good luck with dolphin installs on both and they are very prompt at paying. Installing dolphin is a breeze at each.
The big thing is some don't realize is there are cgi servers and apache module servers. Cgi setups you can use php.ini and apache module you need to use .htaccess to accomplish similar.
Cgi setups you files generally remain owned as your account so you can edit as you please. Certain files in an apache module setup get owned by the server or 99 nobody, then you can not edit them. You have to ask your host to change them back to your account.
Some regard cgi setups as slower but more secure. It's a matter of preference for some.
This is in regards to a shared environment. If you have vps or dedicated you have control this if you know what you are doing.
The host does make a difference to making dolphin work right simple and easy compared to others that are not setup or properly configured for it, but there many that don't make there list that can still do it by all means.
Mostly the majority on the list are about money in terms of referral commissions or other politics.