While your question is more about informal club dancing (what my wife thinks of as "free style"), I think that a quick look at formal dance styles will provide a firm basis for answering this question. In fact, my wife and I will often switch back and forth between informal club dancing and formal dancing, even within the same song - especially East Coast Swing and Cha Cha.
The critical thing when dancing is to pick a dance that has the appropriate time, rhythm, style, and tempo for the music. Picking a dance style for a piece of music is a skill that dancers learn after having some meaningful exposure to perhaps five or six different dances.
Music with a 3/4 (also 3/8, etc) time signature are generally for some form of waltz. There is a waltz style Viennese Waltz that is specifically designed for faster tempos (up to 180 BPM).
Both Foxtrot and Rumba are dances that work well with a slower tempo, but one would probably look and feel out of place dancing the Rumba to big band music, or Foxtrot to Latin music.
Some dances, such as Samba, are danced to songs with a specific rhythm. People who have learned one of these dances can generally recognize the rhythm.
I did a search for a page listing dances and recommended tempos and found this page. It lists four dances that are in, or overlap, the desired tempo range:
So clearly, people do dance to music in the range that is quoted in the question. Therefore I don't see any reason why folks would be unable to dance to that style of music. I recommend playing some and see what happens.