Worst case scenario is that you kill the PT of the piece you operate on, unless you manage to cobble together some slow-start circuit or merely double or triple the capacitance.
The only real benefits of going well beyond the stock power reserves (provided it's adequate in the first place) may be quieter operation (there should be little or no line hum present in any competently designed amp), and a little more of a buffer when the amp hits its limits (insignificantly longer peak power output).
While I did just this sort of thing with some HT amps, and it did improve audible performance significantly, I have no compulsion to do so with the well designed power amps I use now. When it comes time to change out the smoothing caps on my 775's, most likely I will only go up in value due to having to make the caps physically fit, not for performance reasons.
If you look at real pro power amps, those designed for continuous operation at high power outputs, I think you would be surprised to see how little (or small) the capacitors are, especially compared to a decent home unit. However, these will also generally have very large power transformers or sophisticated, high-power SMPS's, using the caps just to smooth out the supply and lower the noise floor.