Clickstorm Clear Processed Images is a TYPO3 extension that stores png and jpg images in webp format too (only fileadmin/processed folder). The backend user can delete the webp files with deleting the processed images by a new cache action.
Feel free to test and give feedback.
- TYPO3 Repository - Official download page
- Extension Manual - Official documentation with all features and configurations
- clickstorm Blog - Current information in german