This is the way to go in my book. Everything gets assembled on parchment and the parchment goes on the hot stone in a 500(f) oven for 7 or 8 minutes. Then you can lift up one side of the pizza and slide the parchment out and let the pizza finish for however long it needs to meet your preference. It's normally another 5 minutes for me to get a nice crispy crust.
The whole process removes the need for flour or semolina on the stone and, in turn, removes the issues of all that sliding around when you drop the pizza from the peel.
I just got my Elegoo Centauri Carbon and it's a huuuuuuge upgrade from my old Ender3. This doesn't directly answer your request because it's multi material isn't even released yet and I don't know the specifics of what it will support (the details might be out there I just haven't looked). But I would recommend checking it out, from what I understand it's meant to be a bamboo competitor at about half the price.