I think that the narrative voice is often different in professional audiobooks, as well as the different character voices for dialogue. It's hard to link to an example, because audiobooks aren't free. And I'm not saying that I don't like professional audiobooks overall--there are some that I love.

One difference might be that podfics are usually read out of love, so that the reader feels closer to the story and the characters?

This is probably helped by the fact that most podficcers work with the authors when podficcing, we might even be friends with them, we want to make sure what we make matches what they envisioned for the story.

This is kind of a tangent, but: is this true? I usually don't work with the author at all, beyond asking them for permission. It's only happened once or twice that the author has beta-listened. But sure, we're probably closer to them than professional audiobook readers are to the authors.