When mapping a sphere, the main choice is whether you want to preserve angles or you want to preserve areas. There is also the third option of not preserving anything, but attempting to not have too great distortions in either angles or areas.

I consider the third option worse, because it is better to choose the right map for your application than a map that is not optimal for any application.

Mercator is an angle-preserving map, so it is appropriate for navigation, but not for giving you a global view of the Earth, for which an area-preserving map is more useful.

Because I do not know the purpose of your map, I cannot judge whether Mercator is a good choice or not, but Mercator and similar navigation maps are seldom useful today, when navigation should be planned by computers, not with ruler and compass on a physical map.