No, you do not need to provide Proof of Ownership (POO) for every single withdrawal.
Once you submit a POO for a specific crypto wallet address and it gets approved, you can use that exact same address for future withdrawals without needing to submit your proof again.
However, if you request a withdrawal to a new or different crypto wallet address, you will need to submit a new Proof of Ownership so that the new address can be approved as well.