Hi @hkpresent ,
WP Offload Media Support Team here. Thanks for reaching out with your query, we would be happy to assist!
If the setting “Remove Local Media” is enabled, then Media Library files are automatically removed from the server once they are offloaded to the bucket.
We don’t have guides at the moment on how to use BunnyCDN, but you should be able to use any CDN with WP Offload Media. It’s just a matter of pointing your CDN so that it pulls its source from your bucket. The CDN’s support team might be able to help you with this.
Below is our guide for how to use KeyCDN with DigitalOcean spaces.
https://deliciousbrains.com/wp-offload-media/doc/how-to-set-up-a-custom-domain-for-digitalocean-spaces-with-keycdn/
And below is our guide for StackPath CDN.
https://deliciousbrains.com/wp-offload-media/doc/stackpath-setup/
Those articles might be able to help you with setting up BunnyCDN to pull from your bucket.
Let us know if you have any other questions.