Whilst there isn't much reproductive information on anemones in general, it has been documented that sea anemones reproduce and spread slowly in nature, and small indiviuals are almost never seen.
You could therefore take from that, that if they don't split that frequently in the wild, why are they doing it home aquaria? What can't we replicate at home?
Another thing to consider (and is the reason I won't try another anemone at all) is that if you buy a "wild" anemone and it dies, not only have you failed to keep that creature alive but you have also potentially killed any clownfish that was using that anemone as a host in the wild.
Personally, IF I was ever to try another anemone (very doubtful) I would make sure it was a tank bred one.
JMO