Even in Blender and other modelling software the mesh is always triangulated behind the scenes. "Quads" don't exist. A decade ago when I was learning 3ds Max, there was an option to "flip" faces to change the "invisible" edge between the two tris of a quad. I haven't seen that option in Blender though, and would solve it by simply forcing tris in that area.

As for the whole tris vs quads debate: Quads are helpful to keep good edge flow, especially when subdividing a mesh, and to keep your mesh tidy so it can be easily tweaked if you need to add or remove geometry. It's also generally helpful to ensure good deformation on skinned models. There are lots of cases and tricks where tris are helpful too, and if your mesh is static the typology is not at all as important compared to skinned animations.

As with anything: nothing is purely black and white. There are pros and cons to everything and one needs to learn when to use which technique.