Hi Andy,
If it was me, I'd try to get rid of these links. They might have any metrics showing high DA, PA, CitationFlow, TrustFlow, or any other (depending on what tool that you use). Until they are in no way related to the target URL, they just raise the balance of spammy link in your link profile.
Let's go back and check why do we have a Penguin update at all?
If we go back in time, many link builders (not all of them), have been hunting for links, regardless the source relevancy&quality. Google had to take action and fight the web spam, that we have created (from one hand with link building).
This is my personal opinion, but I hope it does help you convince your "board" to think in quality vs quantity. Try to remind them, that just because a domain has high metrics, it is not a quality site.
I hope this was helpful, good luck!
Gr., Keszi