Hi @Schneider, Michael , how did you configure your Service Bus? Does it have binding to virtual network using service endpoints? I'm guessing you can't configure a private endpoint as your Service Bus is Standard, not Premium.
If you bind your Service Bus to the same vnet as your Azure Functions, it will see that Service Bus is available via a service endpoint (private IP address), so it will not use public network access. Make sure that you add your subnet (that you use for Azure Functions vnet injection) into "Selected Network" configuration of your Service Bus network configuration (step 4-6 in this guide).
Please note that "TrustedServiceAccessEnabled" is for Azure Services listed here, not for Azure virtual network.