Sorry, I should not have been so rude. But the power supply "loop" is not the only critical one. The most sensitive spot is the negative input pin. Any capacitance kills your slew rate and the opamp goes open loop (overshooting). Inductance in the feedback network adds phase shift and creates an oscillator, typically in the MHz region. And like speedskater said, you most likely won't see it without proper test equipment. Got that "20MHz" filter set on your scope? Poof, it's not there! An opamp with a parasitic RF oscillation will burn extra power and often cause a shift in dc bias. This can manifest itself sonically in a number of ways. Lack of dynamics, huge even order distortions, shrillness, clipping, and open loop operation.
On the other hand, if properly implemented, you should be able to use many different opamps in the Bugle2 circuit. Including discrete ones. You need low noise in the first stage, low offset voltage in all stages, and solid output drive in the final stage.
jh