I don't have the time to build the circuit right now, but I just tried it in SPICE with some quite fast parts (2N2222, 2N2907, D45H11, D44H11 and LM7171) and it had no problems. There are no anomalies in the frequency response, no hints of instability, nothing. Obviously YMMV in real life.
I sim'd it in LTSpice (and orcad) and both showed instability - the gain peaked at around 500Khz. With square wave output, considerable pinging on the output (slew rate limited to about 4.5v/us, but that's dependent on the devices used). A 220ohm/22p pair around the opamp cures that.
For noise purposes, you might want to consider reducing the 330k/10k divider to 33k/1k.
thermal noise really isn't an issue for audio amplifiers (line-level). 330k/10k is in my view the right combination as it allows the use of a 10k resistor from the non-inverting end to ground (the original schematic used a 100k resistor and that's clearly wrong).
I would point out a few inconsistencies (to be polite) in the design:
1) I would avoid the use of CFP at all costs. They are very difficult to handle, even for seasoned designers. A follower OPS is much easier in my view;
2) I would put a small resistor on the collectors of the output devices to provide some thermal stability, particularly when you are using diodes to set the bias. Adjust VR2 to drop about 25mv on that resistor;
3) The drivers idle at about 1.5ma - way too low for such devices, particularly if you are driving 3055/2955 at high current levels - those guys' hFE can droop to 10x or so. I would use at least BD139/140 or some Motorolla devices for that - but then they have much higher fT and that exposes the instability issue;
4) the thermal compensation portion is poorly designed: the output devices want the drivers idle at 1.5ma; The diodes want the drivers idle at 3ma at least, with VR2 shorted. The end result is that they idle current on the output devices will be pushed to a very high level to balance out the two. R9/R10 should be at least 1/2 of R8/R11;
5) R6/R7 drop considerable current and I would use 1/2 w resistors to be safe.
6) the peak current from the opamp can be as high as 15ma -> that limits your choices of opamps used here.
7) the max output power from one pair of output devices is ~30w into an 8ohm load - assuming no SOA issues with the ops. Because of the cfp configuration, it is harder to parallel output devices.

at the max current output, considerable voltage drop happens on R4/R5 (1.5k now), not counting the current needed for the zeners. I would use no more than 110ohm there.
9) if i were to design it, I would use the same transistors as Q1/Q2 for D1/D2 to match the thermal characteristics.
10) idling the OPS at 100ma is on the high side in my view and runs the risk of gm doubling. I would do no more than 75ma, corresponding to a resistor of 0.22 - 0.47ohm on the collectors of the output devices.
I think you will generally find that opamp based audio amps don't perform well.
and those are from our friends in the far east, who by magic are able to supply every obsolete components you could possibly want.
Those are typically remasked TL072 or 5532.
The oscillation was about 10MHz and started at a specific input level.
When clipping takes place, ...
3055's are quite helpful in those cases due to their poor fT. A 1943/5200 would have done some serious damage.