Fletch, I agree with Joe, whatever you are doing, it looks excellent! I use a "tea towel" (otherwise known as my wife's kitchen hand towels....which annoys her) to lay my bread inside my banneton/proofing baskets. I dust the towel lightly with a 50/50 mix of rice and WW flour. It works well for me, and the only pattern I seem to get is a very light transfer of the basket itself. I tried using the bannetons with just flour (no towel), and while it worked just fine a lot of time, it only takes one stuck loaf to really ruin your baking day!
As to your question, sure, you can use parchment to line your proofing container (banneton, basket, bowl, whatever). I would expect that the bread will stick to it, though, so I would be inclined to proof it with whatever side you plan to score facing up in the basket (or, if you just let the natural seams burst open, then just that "bottom" side from shaping would face up.) Transfer your loaf directly from the proofing container to your DO, pop on the lid on into the oven. Should work out just fine!
Or....keep doing what you're doing and just eat the "weird" towel marks!

Seriously, though, that's a lovely loaf of bread!
R