From your question, I gather that all the saloons you have visited in the Wild West have been in movies, TV or gaming. Saloons in reality were different. Adapting an answer I provided over eight years ago (your question is frequently asked!):

In northern climates, batwing doors would never have worked; saloons in the Intermountain West generally had full-length doors. They were needed to keep out the cold and to be able to lock the establishment when it was closed. The batwing doors provide a dramatic device for the entrance of an antagonist, but they would not be practical in reality.

Hollywood also gives us is a different orientation for the saloon itself: doors open in films on the longest wall with the bar on the opposite side serving as the back of the "stage," for the drama of the moment to be acted out. Saloons, in fact, were usually orientated to have the least front footage since that was the expensive real estate, so doors opened to long narrow saloons with the saloon leading back, along the bar, reaching toward the back wall. But that doesn't work cinematographically, so Hollywood turned the saloon so the doors opened to the broad bar on the opposite wall. Batwing doors were used occasionally in the Southwest, but they were always backed up with tall doors that could seal the saloon for security or against the wind (and occasionally cold winter nights).

I handle this topic in my book, Virginia City: Secrets of a Western Past (2012) which is based on years of archeological excavations (including the examination of four saloon sites) and work in general with the buildings in the Virginia City National Landmark District in Nevada.