But I also think it's similar in a way to 'why matter and not antimatter' or 'why ~3d space rather than no structure' (much less obvious the second one!).
But I think the real answer here is touched-on by nmstoker in a sibling comment: We're so far down the energy-gradient of the current-default-chirality on earth, that it would take exploration of an insanely-deep valley for all molecules in a cell (there are zillions even in a bacteria!) to flip the the whole thing to the alternate chirality.
It's a bit like the idea that a good chunk of matter (like even a whole amino acid) could all spontaneously-convert to antimatter at once, sure it's possible in theory but the chances are so low we might as well say it's impossible.
At the end of the day, all life is competing for energy. Spontaneous self replicators would be uncompetitive with existing biology and would never make it to more complex stages.
But over the course of the entire evolution of life on earth...
It's hard to argue that the step from chirality A to B is larger than all the other insanely unlikely steps evolution has taken. From earliest proto-life to complex multicellularity and beyond.
But if your argument is given the extraordinary timeframes then why didn't life evolve again separately in the other chirality, so it wasn't descended from the earlier cells but was just a new unrelated line, then that is harder to generalise about but I recall hearing that there are sometimes slight advantages to one chirality over the opposite in certain cases as the reaction rates can differ (this is the same concept behind kinetic resolution). Perhaps life based on the less effective form would get crowded out by the more effective form, but I would defer to experts here as it's not my area.
So even if some mirror life chemistry was going on at some point, it just didn't make it along with all the other things that didn't.