Does this type of bathtub drain hole "hair-trap" exist?

Factual Questions
1

Some bathtubs have an open drain-hole into which you can fit a “hair-trap” net/screen thing. Then you can use a flat rubber disk as a drain stopper.

What if a tub drain-hole has a built-in drain stopper that you lift up and down–is there a net/screen for this type of drain?

I assume the net/screen would need to “open” so it would fit around the built-in plug, but be closable after fitting into the drain hole.

Does such a thing exist?

2

Here you go: Pop Up Drain Protector

I have several at my house.

3

Thanks for this.

I incorrectly assumed that a hair trap would need to fit inside the drain hole, instead of over the plug. But the one you link to appears to be heavy enough to maintain its position over the plug.