AFAIK, most media data, or many media data formats already apply some form of compression. JPEG always applies lossless compression on top of lossy compression for example (unless you specifically instructed lossless compression only, and if your encoder supports this, not many do). In general there's little to be gained by compressing media data*.
If you want drag and drop and your using for example NTFS, you could just enable NTFS compression for the folders containing the media files. This is lossless compression and will not alter EXIF data etc.
(*) EDIT: See for example https://linuxhint.com/h264-vs-h265/, it appears encoding for example h264 to h265 may help save disk space.
So depending on format, re-encoding may save disk space, in other cases it does not.