Automatically remove black bars from MKV files without re-encoding?

I have all my movies stored on my NAS as MKVs and many of them are encoded as 1920x1080. This causes issues with Plex determining the aspect ratio which I hope to use to trigger an automation for my projector to zoom in and out to fill my scope screen.

I’ve tried using MKVtoolNix to see if I can remove the black bars from the top and bottom of scope films but everything I’ve tried ends up squishing the video down instead of just removing the bars. I’m trying to avoid re-encoding with something like Handbrake since a lot of the files are already compressed down to 15 gigs or so.

Does anyone know of a way to do this?