In a volatile market with uncertainty it's more likely that we see a volatility skew and not so much a smile. Therefore it must hold that, in chaotic markets, out-of-the-money calls and in-the-money puts are in greater demand than in-the-money calls and out-of-the-money puts.(am I correct?)
But how come OTM calls and ITM puts are more in demand in volatile markets?
Eg. the day after Brexit there is a skew for GBPUSD options