Choosing No Action Needed is not a behavior that needs to be done less, but rather more appropriately. In the instructions, it says "when this post needs no action from you." Interpreted generously, this action is applicable in all cases. Because review work is volunteer, technically no posts need action from any one user. However, this action actually means that the post does not need any help, it's fine, and it can be left alone. Please use it that way.
You can bring any issues up to a mod privately using a moderator flag. For this example, you might flag one of the posts ("in need of moderator attention") that you believe was reviewed improperly and explain to a moderator that you feel the user's review actions should be reviewed. You can flag your own posts if you have other issues you want to bring to our attention, like possible serial downvoting, sockpuppets, or voting rings. You can also find us in chat and ask to speak privately.
I think it is one or two reviews depending on rep and agreement. I'll see what I can find out.
As a side note, for anyone who is wondering -- yes, it is worthwhile to flag for our attention if someone is abusing the review queues. There are disciplinary actions we can take, just as there are with posts. Please do this sparingly though. It is a lot of work to investigate review behavior.