I'd just like to point out that when Valve nerfed the Equalizer to be speed-only, they accidentally simultaneously buffed it. The downside to the equalizer was at low health, you had high damage and high speed, but at high health you had low damage and normal speed.
They removed the damage system from it, so now the equalizer is exactly the same as the shovel at high health, and speedier at low health, save for the medics-can't-heal-you thing. But then if you're not an idiot, or forgetful, you can work around that easily.
I find back scratcher pyros piss me off more as a medic than equalizer soldiers.