I used to cook pizza this way. Funny story: Had some friends over for a pizza night one time. When I threw the dough on the grates like you did, one of the guys speaks up: "whoa,whoa, what are you doing?!"
me: "I don't have a pizza stone so I'm doing it this way." Him: "You said it was pizza night, not flatbread night!" me: "WTF are you talking about?"
then he went into this 25 minute rant/explanation/lecture about how pizza is cooked in a hot oven on a stone blah blah blah, what I'm doing is more of a flatbread artisinal thing blah blah blah.
I really didn't want to correct him, so I just told him to order from Papa Gino's and piss off!