I think that the interference of gods in human life would be good if they use their experience to improve our existence, to stop certain things from happening, to help mortals.
This is what Athena tries to do for Oddyseus and his family. She disguises as a friend of Laertes, Odysseus' father. She then meets Telemachus and she advises him to meet with his mother's suitors.
Athena also connects him to kings Nestor and Menelaus so the prince can know his father, Odysseus, is actually alive.
Further evidence of positive interference is Zeus sending Hermes to convince Calypso to set Odysseus free.
On the contrary, when Poseidon, god of the sea, finds Odysseus escaping on a ship he causes a storm to sink it. He decides to do this because of revenge since Oddyseus had blinded his son on a previous adventure.
To summarize, I believe gods interference should be allowed only when it can be helpful when it can raise the quality of life.