I don't think he'd even be able to withdraw if he didn't complete KYC yet. According to this article[1] the deadline is the 30th of September for existing clients and the 1st of September for new ones so that's probably not what he's trying to test.
The announcement date is August 22, 2023 and the last day for withdrawal is September 30. The period is very simple and will not allow everyone to withdraw. What is happening is closer to optional fraud than to being real restrictions because most platforms give 3 to 6 months as a grace period before withdrawal restrictions are mandatory.
I have experience with OKX and by communicating with the support team they allowed me to withdraw without ID verification.