For hardwood, you want the felt sliders, not the plastic ones. They come in all kinds of sizes and thicknesses. I have them on everything and they work great. Just keep in mind the heavier the furniture the thicker and more coverage you’ll want underneath.
Editing to say, I see you’ve used your own makeshift felt solution, but the ones made specifically for furniture may work better as they have some layers of harder material that make them more sturdy.
Please don’t post AI garbage