Here is the the answer from official Paperlike FAQ to a similar question:

Can I use Paperlike on top of my glass screen protector?

While we have heard from happy customers that placing the Paperlike on top of a glass screen protector can work, we don’t recommend using the Paperlike in this way.

To maintain responsiveness during tap/touch interactions, screen protectors are typically engineered to a precise level of thickness based on the materials used.

By placing your Paperlike on top of another screen protector, you may see reduced responsiveness when touching your screen or working with your Apple Pencil.

Here is what Paperlike FAQ says about it:

Can I use Paperlike on top of my glass screen protector?

While we have heard from happy customers that placing the Paperlike on top of a glass screen protector can work, we don’t recommend using the Paperlike in this way.

To maintain responsiveness during tap/touch interactions, screen protectors are typically engineered to a precise level of thickness based on the materials used.

By placing your Paperlike on top of another screen protector, you may see reduced responsiveness when touching your screen or working with your Apple Pencil.

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