oh boy, can't believe i am going to do this. but. if there is one topic i am qualified to write about, it is asteroids.
in my early twenties, i was good enough that i could play for hours. i could have like 50 or 60 extra ships piled up, going all the way across the screen. my longest game on a single quarter was nine hours. i finally had to stop because i was hallucinating.
based on that, i can say for certain that, no, there is only one right way to play, assuming you want to get good enough that the game can't get rid of you.
first, you have to get really good at flying your ship around. you must use the flight mechanic to your best advantage, so you can position that ship as easily as you can drive a car.
second, you have to get good at hunting the small saucers. i knew several good players who used different strategies, but the most reliable was to get rid of most of the rocks, fly slowly left to right across the screen, and learn how to "strafe." you were allowed a maximum of four bullets onscreen at once. you have to learn to press the fire button so quickly that all four of them line up together, which you gracefully place in the path of an oncoming saucer, so that it has no choice but to fly into your sheet of bullets.
i can't play the game at all anymore. my reaction times have gotten way too slow. also, after about 30 minutes, the tendons in my wrists start to hurt. the game makes you hold your hands in a very unnatural way.
i exchanged emails with ed logg once. he offered to sell me his original prototype asteroids machine, the one he developed the game on. i was not interested. i love the game and all, but not enough to haul around a 600-pound boat anchor for the rest of my life.