no. because the prices are influenced by external factors. i live in a country where markets like these exist and the price is not 'natural' in any way, in an idealized world maybe but not in reality.

firstly, transporting any commodity (and inputs such as fertilizers) requires fuel and fuel prices aren't determined by such idealized markets you mentioned, its determined by what cartels and oligopolies want it to be. you are also ignoring subsides, not just by the national governments but foreign governments. for example, developed countries provide a shit ton of subsidies which pull down prices in the international markets, without restrictions and tariffs these displace local production.

there is also the fact that food prices are very inelastic, the seller can push prices very high and the consumer will be forced to accept it because you can't live without food.

i dont really get the middle eastern market you are mentioning because in reality there is absolutely price discrimination going on.