No. All of the creatures mentioned, voles, moles, squirrels and gophers will come the the surface and push out dirt, thus evacuationg their burrows.

Voles are not as powerful diggers as moles and will often stay closer to the surface. When you see a very long continuous raised runway, especially in a lawn, it is likely a vole.

Of all those mentioned, only moles are Insectivora (shrews and relatives), the rest are Rodentia. Moles are not as widely distributed as the others. Actually quite rare in many ares. Also require a different type control as they do not eat plant material.