No, I wasn't using any capacitors between the pins but I remember such eperiments with other AD op-amps and placing the compensation capacitors was degrading the sound - it was loosing immediacy and speed, leaning towards boring sound while preserving the tonal balance. You have to keep in mind that I've been testing the op-amps in a buffered configuration with a global negative feedback loop. This changes the frequency/phase relationships due to the characteristic of the buffer, and all direct datasheet recomendations become invalid. I can tell you that in my circuit the AD8099 is stable at gain of 1 and produces top notch sound, say amongst the few best. And again, what I am writing about is just a slight efect but my ears seem to be sensitive to this. The same with the OPA637, it's similar to OPA1632, where the latter sounds like a sweet spot between the OPA211 and the OPA637. They are actually close to each other, the OPA637 being the slowest, the most airy and the least precise, the OPA211 a tad too dry with OK speed, the OPA1632... could be more colorful but in this field is still better than the AD744.
Finally, our observations might differ because of different accompanying equipment like sources, headphones and the rest of the amp. Refer to my signature for some info.