That would make sense since the KGST is supposed to knock down the treble a bit. Good for the brighter stuff, not so much for the neutral to warm.
I agree with the general sentiment and conclusions here, but to me the L700 and 009 are neutral-ish while the 007 (at least Mk I) is dark -- in some ways even darker than the HD650, which for ages was widely agreed to be a dark headphone in need of some "brightening" via component matching. Sorry to be such a broken record here, but the other guys are wrong
I think myself, and the other few I've seen with both the L700 & KGST, agree that it's an excellent combination. I recently saw a post by someone expressing that regardless of overall level (for which the 009 will be probably more elevated vs. L700 at certain points), the 009's treble is smoother/cleaner than that of L700. I find this to be very true with my Carbon / Yggy / Audiophilleo setup, though the slight L700 roughness will probably only be apparent if you have a 007 or 009
and a great amp/source for reference. The KGST completely smooths out this minor roughness at the expense of a little detail, and still retains a nice amount of sparkle and energy up top -- it's not dark. The KGST's weaknesses (only vs. more expensive amps) -- bass impact/extension and soundstage size -- are generally not additive with the L700 (i.e. you get decent bass and the same 'ol Lambda soundstage). The midrange of the L700+KGST is lovely; warm and liquid, even bordering on lush, but with great clarity (I love Stax for its ability to pull this off). In short, these components are splendidly well matched in both performance & price, and have strengths & weaknesses that are both complementary.
That said the Carbon is overall better vs. KGST with the L700, and
much better with the 009, but that should be a given at its higher cost tier.
And though the 007 does indeed benefit from amps on brighter side, that's not to say it doesn't sound pretty great with the KGST or Carbon -- it does (especially the latter). It's just that yeah, a brighter amp is going to result in a sound closer to neutral there (BHSE and one particular KGSShv mini, in my experience).