"If you are going to do some work for a while in a particular small region of the model you can reduce the grid size for a while and relocate the grid if needed by using View > CPlane."

Ah!

This is what was wrong with my workflow when using MoI3d. I understand now. I just assumed that the Grid settings would work under any circumstances and also when switching to other components inside the same scene.

Thank you Micheal, I think that this is the answer that I was looking for, to better understand how to work with the Grid settings inside MoI3d.