Pad stitching is used to hold the hair canvas to the fabric, providing more stiffness and body to it than the original infrastructure product can on its own.
It is sort of like quilting, from the reverse side, and then the stitches are covered up.
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Because pad stitching is pretty nifty. It’s used to bond an infrastructure layer (traditionally hair canvas in tailoring) to the layer it’s stiffening (often the under-collar). And the great thing is, it provides MORE STRUCTURAL GLORY than the original infrastructure product can on its own.
Pad Stitching - Sempstress
Pad stitching is a means of joining two pieces of fabric together. In the context of tailoring, it's used to join a relatively stiff, non-fusible interfacing ...
101: Pad Stitch - poppykettle
Pad stitching is used to hold the hair canvas to the fabric. It’s sort of like quilting, from the reverse side, and then the stitches are covered up. When the stitches are covering a piece of fabric, the fabric has more stiffness and body to it.
Tailoring How-To: The Pad Stitch & Prepping Collar Pieces
Pad stitches  are a type of running stitch made by placing small stitches perpendicular to the line of stitching.  Pad stitches secure two or more layers of fabric…
Pad stitch - Wikipedia
Pin or clip and stitch in place at 1/4". Attach snaps or Velcro. Before attaching snaps, place the pad in a pair of your underwear to mark where you would…
How to Sew Cloth Pads - Seamwork