Is the latency of the Surface Pro 4 affected by a screen protector?

Insignia-Pro

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Jul 16, 2014
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I was wondering if installing a screen protector on the Surface Pro 4 will affect the latency and create a more noticeable parallax effect when using the Surface Pen as opposed to using it without a screen protector.
 
Latency is the lag time between input and processing of said input. There's nothing about adding a screen protector that will increase latency.