Pulsars are very stable stars in their own right. I think you're talking about "main sequence" stars vs. other stars. Main sequence stars by far outnumber all other stars in this universe, and they will continue to do so for trillions more years.
By far, the largest group of main sequence stars are red dwarf stars which make up more than half the population of all main sequence stars. Our own Sun is a yellow dwarf, which is less stable than a red dwarf, yet it has already lasted 4.5 billion years, and it's likely to last till it becomes unstable in another 5 billion years. So it'll be stable for nearly 10 billion years.
Red dwarfs can remain stable for 1 trillion years or more. Pulsars are the corpses of dead main sequence stars that were at least 10 times more massive than our Sun, so they died quickly and early. The more massive the star is the quicker it becomes unstable.
Once a massive main sequence star dies and turns into a pulsar, it stays very stable in that form for a long long time.
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