Dumb Overdrive question

So, I was reading this post by Jeb about loading up Overdrives on a  -- shocker -- Raven and it got me thinking*.  I realize this is likely a dumb question, but if you trigger Overdrives then get your grey health bar healed up by somebody (Mender, etc) does that turn off the Overdrive?  Or do you still get credit and then benefit of an improved health bar because the Overdrive was triggered at some point?

* note the smoke wafting from my noggin