I've built a brick wfo ( pompeii igloo style, 1m internal diameter ) and for pizza it ***** on the primo, and anything else for that matter. Rating from worst to best for pizza, in my experience, are oven, gas bbq, primo, wfo.
The problem with the primo ( and bbq's in general ) is that you can get the bottom hot enough but you can't get the top hot enough, nothing beats having a fire licking over the top of your pizza.
On Saturday night my 2 kids ( 8 and 10 ) had a friend over each for a sleepover, so we had pizza's. The 10 year olds face lit up after his first bite and proclaimed it to be the best pizza he'd ever eaten, he then had to have a slice of every pizza made just to make sure, ended up eating more than me.I used plenty of insulation in the build so I get 3 days cooking from the one firing. Yesterday i baked some bread in the morning, and did a beef rib (bone in ) roast and vegies for dinner. You get very juicy roasts in the wfo as it's just radiant heat from the bricks. With the primo you get all the extra flavour from cooking over charcoal and adding lumps of wood. I have light a small fire in the wfo when already hot, added the meat and then closed the door, which puts the fire out and lightly smokes the meat.
On the third day the wfo is good for low and slow, @120 in the morning, add meat and after 10 hours it's @105. Again you can't get the smokiness that the primo gets. I have thought of using my smoking tube with a computer fan and trying to get smoke in that way but the primo does it already, so haven't bothered.
long winded reply, short answer is have both