Should PPI be taken into account in web design?

Question

Design

I work in Adobe XD, the resolution of my laptop is 1920x1080, diagonal 14. Sometimes I notice that physically the fonts look different on the monitors of other laptops. As far as I understand, Adobe XD has a PPI of 72 by default
. You can’t change it in any way.
Therefore, the question is: Do I need to somehow think about how the design will look like the design (fonts, vector and bitmap objects) on monitors with different pixel densities. Do multiple layouts?