You may not be able to collateralize but this logic isn't really sound. A deep itm option on a stock like IBM is far less likely to lose half its value over time x then an ordinary position in a stock like GPRO, for example."Your alleged ITM option position could easily be OTM the next day."
Would such a situation not just trigger a margin requirement. I was arguing from the perspective of a trading structure that uses options to net against other securities.