Local currency removes a calculation
A buyer in Kuwait or Qatar who sees a price in dirhams has to convert it before deciding. The conversion adds effort and doubt about the final cost. Some buyers leave instead of calculating.
For example, a price of AED 250 means little to a buyer in Kuwait who thinks in Kuwaiti dinars. A local price gives an instant answer.
Your page can show the price in each country’s currency, or at least a clear converted amount. This works because the buyer understands the cost immediately, and the page removes a common reason to leave.