The broadest possible interpretation of apatheism is to not care about the existence of any possible deity in any possible world. I don't think this would be a particularly strong position (unless one has apathy generally).
Stronger interpretations of apatheism, in my opinion, would be:
Apathy towards the existence of certain gods, e.g. a deistic god that created the universe but doesn't otherwise intervene with it nor interact with us (and likely wouldn't be concerned about the doings of humans).
Apathy towards the existence of gods given the world we're living in, which is one where no god seems to be trying to communicate with humanity (or at least they aren't trying very hard or they're very bad at it). As such, we might infer that no deity exists that wants humans to do things for them for some reward, and deities that remain are likely indifferent towards humans and can't be appeased through our actions (or we have no way to know what would appease them), thus they aren't worth concerning ourselves over.
This is very loosely stated, and people may vary on whether or how much they've investigated existing god beliefs (and found them to be lacking) before coming to the conclusion that no god seems to trying to communicate with humanity.
Pascal's Wager doesn't relate to these two cases (and therefore doesn't refute them), but rather it relates to the specific possibility where there would be consequences to disbelief, and where we could take some actions to affect those consequences.
We could say that Pascal's Wager runs somewhat parallel to apatheism. If you think there is plausibly consequences to disbelief given the world we're living in, you might be more drawn to Pascal's Wager. If you don't, you may be more apathetic.
Although it's also worth noting that you can't refute apathy, because that's an attitude or feeling, not a claim. But one could potentially refute the claims the apathy is based on (if any).
* Although beliefs inform actions and actions have consequences. So even if I don't think the existence or non-existence of a god would have any impact on my life (given the world we're living in), other people's belief in gods certainly impacts my life and the lives of others, in that it affects how those people treat those around them, which laws they support, etc.
There are 2 separate questions in whether one cares about the existence of a god (as per the above), and whether one cares about the existence of god beliefs, and about people acting on those beliefs.