Yes but these moves and opportunities go very quickly which is very difficult to identify therefore there is some sort of algo and market making involved in this.
There all lot of time when I don’t see bids or asks in illiquid options but when I place limit order it executes within a micro seconds which is not possible for any human.
as per i know futures go parallel with the spot price.and most important to put that much quantity i think the overall volume is low so even if you would invest the amount there are 3 possibilities either half of your order being not executed or else trade might go according to your wish or else people will start putting the spread