That was an interesting question to say the least. And it was one he had to think about too. Some people seemed more in tune when there were gods running around while they were invisible or disguised. Others were completely oblivious. There had been that one time where he hadn't even known the old man who had hidden him from the mob after he had been blamed for Serena's death had been Zeus.
It depends on the god or goddess really if they want to be known. Some keep a low profile and disguise themselves. My father did that when my mother's husband Amphitrion was off in a war and had died. He disguised himself as her husband and slept with her before she got news about him being killed. But there are a few mortals who can sense when gods are around. A friend of mine can sometimes get a sense when one is around.
He paused to clear out the text after she had read it before adding some more. With my being part god, I can usually see the gods when they're about the populace invisible and mortals can't see them. He hoped that answered her question about the gods meddling in the lives of the people.