Short answer, no... in most cases*. 360 distance, FOV and sensitivity will be the same. If there is a change in monitor size, it might be perceived differently (even though it is technically the same), which you can account for in the calculator by entering different monitor sizes.
*A few games are directly affected by resolution (in most, if not all, cases horizontal), for instance
Farming Simulator: https://www.mouse-sensitivity.com/?share=b5c6f73895ada04db4dddb6e81756a95
and
Minecraft Bedrock Edition: https://www.mouse-sensitivity.com/?share=cee3b246ffafe18232655f2a025b8d75
These are rare though, and the calculator will account for this unless it somehow didn't get detected under analysis.