If OP could give other basic information about the setting that would be good. I was assuming there’s multiple people groups involved here, but if it’s all one society then yeah, gravity could be connected with class. The exoskeleton thing makes me think they’re leaning more futuristic.
On the other hand, the high gravity areas could be the most popular, as physical strength is valued, and the people living in the high gravity areas have underdeveloped muscles, so need support suits to be able to visit other areas, and are looked down on for it.
Usually culture follows necessity. I think it probably comes down to if the residents of heavy areas are a ruling military elite, or there’s a great deal of civilian mobility between areas which allows a civilian elite to migrate to easier conditions, and leave the dirty work for others.