Taste wise the difference in an extra day or two is like the difference between wonder bread and sourdough. And since it gets a nice long rest it handles better. The biggest thing I notice is that when you stretch it out it doesn't shrink back up. Also, make sure you bring the dough back up to room temperature before handling it if its been in the refrigerator.
I use 00 if I have it but Bread flour or a mixture of bread flour and all purpose (half and half) works great too with this method. My secret ingredient is honey instead of sugar. Specifically red chile honey. You know us crazy New Mexicans put chile in everything. 🤣