Keep mesh textures and materials when converting in Grease Pencil

I have a nice 3D mesh with its textures and shaders applied but when I convert it to grease pencil it loses everything and in exchange it gives me a flat material. When I do Object>Convert>Grease Pencil it would be awesome to have the possibility to keep that information. Besides, to work fine, it would be great if the texture UVs could move along with the mesh while sculpting, for example.