I don't collect the eggs, cleaner shrimp young are near impossible to raise to maturity - I believe that the longest anyone has gotten the young is around 54 days - they take 6 months to a year to be viable from what I have read.
Yes, they become coral food and fish food - matter of fact I can tell from across the room that they are giving birth because the fish, who were asleep only moments before are swimming around the tank in the dark eating up a storm.