Definitely, but Zug is a tiny group of houses that I wouldn´t even call village, so if you are looking for something with some restaurants and some live I think Lech is the place.
About St. Anton, it is true that it is in a corner of a masive resort that it is famous for the huge area and the big spread, I live close and sometimes I go by car to Lech or Zug to start from there even that´s means 15 min more driving because starting from St Anton means a lot of time of taking lifts to arrive to the center of the resort. In addition St. Anton acumulates not experience people and the slopes are more crowded that in Lech and Zug, besides, St. Anton has a big train station that connects directly to Switzerland and Austria. However the village has a lot of live, many bars and restaurants, nice apreski, etc.
In conclusion, St. Anton, bad position but nice village, Zug the oppisite and Lech is the middle point. So it depends what are you looking for you can choose one or other.
*message edited by elecas op 20 Nov 2017 16:38 (1% bewerkt)