So at the very least, we can say that the conditions for the apparition of life and the conditions for the proliferation of life seem to be quite different.
Also, given the amount of isolated biomes on earth, if abiogenesis had ever been a common occurrence, i think we should expect for there to still exist some survivors of those other events.
Going from inorganic sludge to life isn't "an event", it's multiple events over millions of years until the right chemicals get together and form something that can reasonably be called "a thing" that can even be alive. It only makes sense for that process to have happened once, because the resulting life would have outcompeted any future proto-life.
I would also note that we don't really know of any mechanism that would require millions of years for chemical reactions, or any equivalent of the theory of evolution that would work for hypothetical complex organic substances. Not to say that either is impossible!