I love the idea of using your skillet for baking. yes, with your pan's history and care, I imagine they do slide right out.
If you do have a Griswold, it's actually worth a lot. Just FYI.
I use my Dutch Oven for baking, and I actually use it in the fire pit. That is my kind of cooking - put stuff in the pan, put fire on top, and leave it for hours! You can't burn anything and don't have t hover around the kitchen. I also like that I can bake something if i have to in the summer and not add any heat to my house.
Your La Creuset set sounds gorgeous. You have actual heirloom cookware, stuff you can pass down! That's wonderful!
About your newer pan - use only a stainless steel spatula with it. It helps if the spatula has corners on it. The more you can grind down the iron, the better the pan will become. Adding extra iron to your food is also a good thing.