Hello Cyril,
As far as I know, EXIF meta data supports only coordinate information in WGS84 coordinate system.
If you are working in local coordinates, I see two main possibilities:
1. Save the exterior orientation information to CSV/TXT file and import it as a reference data after adding images to Metashape project,
2. Embed the coordinate/orientation data to custom XMP namespace and read this information using script, by parsing the image header for each image, but this approach would work much longer, as script should read every image.