I'm grabbing every favourite piece of clothing I have around the house and mending it with a needle and thread
I'm not very good at it, but it's not terribly hard to close up broken seams good enough for some use. It sure as heck beats buying a new pair of jeans for $70 just because I somehow destroy the crotch every year
I'm finding this to be really satisfying and relatively easy to do. Certainly I can develop better stitching technique and use better tools and material, but it's easy enough to be good enough, or so it seems to me now
That page you linked is using it more for embroidery than strength but the intention is distributing the tension more evenly over the fabric with long series of running stitches. As I mentioned before it looks like there is a lot of pull happening along that sensitive raw edge of the tear near the seam which makes it likely to pop again. By distributing that tension more evenly along a larger area of the fabric, especially with the fabric patch behind reinforcing it, your mend will last longer.
heres a basic tutorial
and this gives a little bit more about the philosophy
I enjoyed the philosophy link, thank you.
No worries, always happy to chat about sewing and mending haha