different reasons for different composites - lead to different gain block choices, compensation schemes
often use "mis-matching" - letting one op amp be the dominant pole source, the other so much faster that its contribution to loop phase shift is small - as in fast unity gain output buffer inside the feedback loop of a slower op amp
You'll need to show a detailed schematic of the specific opamp configuration (inverting, noninverting, source/feedback/load impedances etc.). And what's the frequency we're talking about?
Intended circuit is the SVF used as an oscillator, frequency range is 10 Hz to 30 kHz, impedance is typically 5-10 kOhm, noise as low as possible (the OPA827 has a noise of 4 nV per rtHz), bandwidth of 0.3 Hz or less.
This requires the opamps to be unity gain stable, but at least it's inverting (no common-mode effects). If the operating level of your oscillator is indeed just 1 Vrms, you might be able to get away with careful class A bias of a decent single IC opamp. As a starter for a possible composite opamp you might want to look at this post: http://www.diyaudio.com/forums/equi...n-audio-range-oscillator-225.html#post3454158
Of course there's much more to low distortion oscillator design than just throwing in a composite opamp. The thread linked above is good reading (if you can filter from the usual noise).
I thought there might be some experience in it I could learn from.
The discussion from here suggests ultralinear amplifiers aren't the best idea depending on how thoughly you understand how the oscillation has to be stabilized.
As jcx notes, the second amplifier should be as fast as possible; its noise and linearity is secondary (there are a few choices which go near 100 MHz with +-15 V rails). The first opamp can be about any good audio part with suitable noise characteristics at the given source Z.
Oliver's text does not apply directly to oscillators with linear leveling loop. You can get extremely short settling time even with ideal amplifiers.
my, ska-a Graeme article link shows the modified integrator compenstion for lower closed loop gains, can be used with both op amps in the loop ~same speed