It's an interesting topic that I don't know much about but I have noticed a very interesting correlation over a small sample. In my extended social circle I'd say I'm least prone to "social mimicry" (even though it would be best to ask a third party obviously) and there's a couple of people that are very prone to it and some that are not all that prone to it. I have noticed that the people that tend to mimic are also the people that strongly prefer instant gratification over long term benefits (time preference in economic terms). That's pretty constant over different domains, a trivial example would be "must develop this pokemon immediately" vs. "I'll just wait a bit until it gives me a bit more XP to do so" but it's also true for shopping and a lot of other things. I used to be very interested in time preference (and time preference in children vs. adults). I'm not aware of a model that links time preference and social mimicry but it's by no means my area of expertise.

As an aside: it seems very rational to pay social influences. I'm not entirely sure which pop-sci book it was (something I must have read on the train) but there's an interesting section on this in iirc. "The Tipping Point".