Yes, that's correct. Members of the genus Ambystoma are commonly referred to as mole salamanders. This name derives from their relatively stout bodies and the way they "mole" or burrow through soil. Mole salamanders are a subset of North American lungless salamanders and have distinctive characteristics shared among species within Ambystoma:
Thus, when someone refers to a mole salamander, they generally mean a member of Ambystoma. However, it's good to keep in mind that mole salamanders are not exclusive to Ambystoma because other genera can also have similar habits and characteristics.