you don't need to use any resizers for BFI, because BFI_Thumb is resize file

Thanks for the reply.

if this addon found here aqua-resizer-s3 were integrated in the inc / BFI_Thumb.php plugin there would be some problem with the theme?

No, but you can use CDN plugins, usually they are working correctly with
thumbs folder

Hello,

I would like to ask if there is a way to permanently transfer the folder with the "thumbs_dir" images created by BFIThumb on Amazon S3.

Thank's