No. Osko payments are sent independently of the PayID system.
For a payment to be sent via the Osko service it requires both of the accounts to be registered to send and receive Osko payments.
Eligible ANZ accounts can send and receive Osko payments. Whether or not the payment is sent via the Osko service depends on whether your account is eligible, and whether the payee’s account can receive Osko payments.
When receiving a payment, whether or not your payment is sent via the Osko service will depend on whether or not your account and the payer’s account are registered to send Osko payments.