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No stitches or nails that I can see originally, so it's been done either entirely with glue, or by using a hidden channel. I have been hunting for an 'old man' as you put it, but everywhere I have enquired so far just seems to be tooled up for doing straight swaps on shoes with a Goodyear welt.
Someone else told me a place called Tony's heel bar are quite handy, so will look them up too.
Leather soles are heavy. If the shoe construction originally had stitching it's probably because it needs it.
You can ask a cobbler to do a blake/moccasin welt stitch (or words to that effect), rather than a Goodyear. Then it stitches inside the shoe, not along the outer welt. This isn't ideal if the shoe is the wrong construction and you'll probably be told "no" or "it won't work" .
Alternative is the leather is pinned down all the way with nails, super expensive if you want a fine job. Try find an old man cos it's not a common technique now, labour intensive.