I don't agree with the opinion "if the mat gets broken the image is ruined". Does not the mat somehow protect the image, is it not more protected with it fixed to a strong surface, than the paper alone? Also the overmat and framing will hide faults damaged corners etc....if that should happen, but you should anyway treat your drymounted picture as carefully as your paper alone.
You can also get mount tissues (from Seal/Bienfang) where you can remove the image from the matboard by heating, if needed. Though I have never tried this.
For me a perfectly flat image, dry mounted, makes a big difference, and for baryt paper I would never consider another option.