Have you, or anyone you know, ever benefitted from that "opinions mine, not my employer's" quip? Do you have serious reason to believe using that disclaimer is effective? Seriously curious, it seems like a silly thing to attach to a bio.
Think of it this way -- you never know how many people might have been tempted to make a deal about who you work for based on something you said, but then stopped because they saw that thing. If I ever got fired for something I tweeted and DIDN'T have that, I'd feel like a dipshit.