Most (if not all) cars decrease the air/fuel ratio on wide open throttle, which ensures lack of air to burn pistons, etc., as well as cooling the charge to allow greater volumetric efficiency. Carburetors had a "power valve" to accomplish this, fuel injected vehicles usually have a vacuum hose attached to the fuel pressure regulator to increase fuel pressure temporarily. A fouled O2 sensor, mass air flow sensor or manifold air pressure sensor could throw off the ratios during normal operation. I'd venture to guess that "badly tuned" implies a misfire (probably a fouled spark plug) causing an entire cylinders worth of raw gas dumped into the atmosphere. This excessive fuel will melt down the catalytic converter which exacerbates the problem.