The rites

Yes, it has. Let's put all of this together: A father like Odysseus introduced his young child in the age between 0-1 years old on Apollo Day in its first year. Exactly 19 years later, in its twentieth year, when the fase of the moon is the same again, the full grown youth is presented a second time. Then the cycle is completed, maturity is reached. Sun and moon, Apollo and Artemis completed the cycle of Meton, a new generation takes over. All what the father has to remember is the phase of the moon that first day. Telemachos will reach offical maturity in his twentieth year on Apollo's Day. He can be head of the family and the king from that day on. There seems to be one condition, his father must be present. His father must present him. And he is! Let's return and see if there are any indications for 'the twentieth year'.

Wikipedia Apellai

A father introduced his young child
A father presented his son again, later, as grown youth
A husband presented his wife after the marriage

This is the Apellai rite in Classical times. Could there be any connection with the Apollo rite in the Late Bronze Age?

It is almost sure that the fest belonged originally to Apollo, because his name is used in the oaths only near Poseidon Phratrios and Zeus Patroοs. In Athens a common epithet of Apollo as family-god is "Apollo Patroos".

Daphnephoria, Frederic Leighton