In my case it wasn't the ice maker itself, but the plumbing leading up to it within the refrigerator. I finally ended up turning off the water supply after my DIY repair broke a second time.
You can save a lot of money on almost anything if you're willing to get your hands dirty and do the work yourself. I don't think it invalidates the argument.
You're totally right. I was trying to weigh the convenience and time savings of automatic ice for 12 years vs the low cost in time and money to keep it working, but I only cited the latter in my response.
https://www.amazon.com/gp/product/B002GZND6U