Thank you for all of your responses! It sounds like I have more control over the flavor than I realized.
I keep my starter in the fridge, and pull it out to make dough each week or two. I feed it 1:1:1 right out of the fridge, and in about 4-6 hours it has tripled in volume, which I thought was the best time to use it. So that is the point where I take a bit for my pizza dough, 1.5-2.0% (its so sticky, I am never sure the exact grams that make it into the bowl). I put the rest of the starter, presumably still near its peak, right back in the fridge. So the starter is only out of the fridge for about 6 hours a week.
Does my process raise any flavor flags to you all? I am also feeding my starter with white AP flour, but making pizza dough with 00 flour. Is that your common practice?
I will respond to some of you directly for the advice you offered. Thanks again!