I am currently trying to make this lattice in colour white with lattice maker. Close up it is clearly white but far away it still looks black, (i believe due to the lines).
Yes, there are many ways to selectively hide edges. You can enter the group for editing and select and hide or soften all the edges. Or you can use an extension that will soften/hide edges in selected groups. Or you can use a style that is more appropriate for what you need.
Basically, everything is possible, but we need specifics to be specific.
The most basic method would be to turn on Wireframe mode so you can select all the edges without the faces, then hide them and go back to Shaded with Texture.