Travis,
I am the "Product engineer type" you are referring to. As mentioned in other forum posts, UPD5.9 has released, and is available on www.hp.com/go/upd. This issue is documented in the UPD5.9 Release Notes as resolved under issue "25348 Office 2013 and Office 365 may hang after printing when status notification pop-ups are enabled."
If you continue to experience issues after updating to UPD5.9, please contact HP Support (800-334-5144) referencing this forum post, and my name. Doing so will ensure we get the issue properly qualified and cases needed for an escalation into the HP Labs. You can also send me a head's-up, informing me of the issues, so I can follow-up on them.
Best regards,
Dan Eccher