When one is writing complex logic that is supposed to receive both frequent new features and keep working correctly there is nothing that beats TDD.
Let me attempt to compare this to bowling even though I know nothing about bowling. If you just occasionally like to go out bowling you can use whatever technique you like and you will get better if you just bowl a bit more often. If you want to play bowling on the national level you may at some point have to drop the technique that you made up yourself when you started out. You need to go through the uncomfortable stage of learning a new an better technique and temporarily be worse at it. I think the people not doing TDD are just refusing to go through this because there is not much of an objective standard of quality for developers. We are in a field where code that lacks any sort of quality is standard and where breaking features three times a week is standard. TDD will fix these things.