Fellow rider, that's terrifying. I'm trying to even imagine what could happen. I guess at an angle means your rear wheel was coming around, slipping? Maybe the slickness and even your "maintaining speed" amount of throttle was enough to get the rear wheel spinning. That's just especially scary for me, because I really like the--illusion?--that I'm in control. I want a say-so in what happens, especially in risky situations.
I've totaled out a bike myself and gotten back on, but more and more I think maybe it's time to give it up. Especially because I think there's a non-zero (but small) chance we solve aging/death in my lifetime.