Often - they claim to be pin-for-pin replacements for the basic TL072, but there MUST be MORE to it than just less noise.
(I KNOW there is.... but - doesn't these other improvements in the newer OpAmps change the sound as well??).
There is more than just less noise. As said, NE5532 doesn't necessarily involve less noise, because it's a bipolar OP with a lower "noise matching" impedance level. The total circuit noise can be expected to exceed TL072 noise above some 10 k source impedance. A brief view at the GS3 channel module schematics suggests not to use NE5532 here.
"What does higher bandwidth with the signal?"
- It usually won't change the audio frequency response itself, because it's defined by other cicruit elements than the OPs. A good OP audio amplifier is designed to have a considerable loop gain reserve at the upper frequency corner, I assume this is the case for GS3 as well.
- The main effect of excess bandwidth is to further reduce distortion. You'll notice that dedicated high performance audio OPs have rather high bandwidths.
- The drawback of high bandwidth is that it increases an instability risk with some circuits respectively demands additional circuit design measures like better power supply bypassing or isolating capacitive loads. Although I don't see a clear indication of such problems in the GS3 schematics, there might be e.g. a bypassing issue.
As a final comment, it's not easy to track subjective valuations like "dull" or "harsh", or understand what "cutting the sound" exactly is.
I agree, that a hearing test is mandatory to judge audio equipment, but it's important to perform it under clean conditions.I would also try to supplement it by some measurements, particuarly THD.