Actually a properly seasoned cast iron pan is about as non-stick as it gets, but it’s heavy and people worry about dealing with it. For getting crusty stuff off pans though, nothing beats a thick layer of bicarbonate of soda, sprayed liberally all over with white vinegar and left for 5 minutes. Very little doesn’t wipe right off after that!
Mostly though I agree with your point that it makes little sense to spend big money on an omelette pan. The coating is going to be pitted within a year or two, and that’s that. A good guide to how you should buy these things is found in the restaurant industry which does what you do now; buy them and toss them.
That also leads to the best advic I can give here... buy your pots and pans from restaurant surplus stores or closing sales! I bought half a dozen omelette pans from one of those for $35 bucks, and I just swap them out every two years.