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I'm not sure which Latin dances you're thinking of but I can think of a bunch of instances in salsa where objects in my right pocket would get in the way. Definitely in bachata, and kizomba if one considers that a Latin dance.

Also depends on what "Swing" you're referring to, but even in Lindy Hop I would say I my right hip is close to my partner frequently enough that this would be an issue, in partnered Charleston and various Shags there is regular side-by-side connection (connected on the right side for the lead), and Balboa is danced in an offset close embrace position where your hips, while not necessarily in direct contact, will often brush against each other simply due to proximity.