Just to be contrarian to some of the above.

I think if you have a nice flat cutting edge as in the video but an uneven spine Dr Matt's approach seems right to me. I cannot see how removing some metal of the spine would change the bevel angle so much that it will become a problem. We do not hesitate to tape the spine with 1 or 2 layers of tape but as soon as some metal is removed from the spine it is frowned on. Preserving the pristineness of the spine seems to be more important than having a razor with an edge that is easy to maintain.