Q: I have a delay from ignition "on" to relays turning on and dash lights illuminating

I went to start my car one morning a few days ago and it cranked right up, but instantly died. I tried again and got the same result. After some experimentation, when it died, with the key still the "on" position, the CEL, seat belt light, brake light, etc all came on about 2 seconds later AFTER the engine had died. I simultaneously heard the fuel pump prime, turned the key, and the car started right up and ran perfectly. Since then, I've been starting it like a diesel, turning it 2 clicks, waiting for the relay to click and the lights to come on, and then starting it. It's been working perfectly. This delay is largest in the morning with a cold engine. My concern is that I don't know if eventually the main relay won't trip at all and it'll die for good and be stuck somewhere. So my question is: Do I need to get the wiring (between the ignition switch and main power relay???) repaired, or can I just live with it and keep doing what I'm doing (it doesn't bother me at all)

My car has 201700 miles.
My car has an automatic transmission.