Sonic Defender
Headphoneus Supremus
If by "deeper" you mean frequency, the TH 600 can't have deeper bass; it's simply not possible. The LCD-2 bass is ruler flat down into sub-sonics well below 20 Hz.
Yet when people say "deeper" they don't always mean "lower in frequency" - the subjective perception of "deeper" bass doesn't necessarily imply lower frequencies. A speaker or headphone can accentuate the bass in a way that sounds like it goes deeper, even when it doesn't in fact go any lower in frequency. This sonic illusion is most likely what people are describing as "deeper" bass.
In my view "deeper bass" in this subjective sense is not necessarily a good thing. Accentuated bass might suit some people's preferences. But to people who want music to sound like the real thing (acoustic instruments played live in natural spaces), accentuated bass sounds artificial, clouding the true timbre of the instruments. When I first listened to the LCD-2 I was concerned that people said it had "big bass". It doesn't. Its bass is neither "big" nor "small", but exactly what the engineer put into the recording. What it has is "good bass". Totally natural, linear response down to sub-sonic levels with no distortion. I don't think human engineering has yet devised more accurate, linear, distortion-free bass reproduction than provided by planar magnetic headphones in general - like the LCD-2, among others.
Yes and no, the sub bass may be ruler flat, but the amplitude it can reach may not be very great so even if it can reproduce a very low frequency, it may be hard to hear. The LCD 2F is not making much audible at 20hz no matter what the measurements say, nor is the TH 600. I agree that the perception of deeper doesn't mean actually deeper frequencies are being produced well, there are always chamber reflections/refractions with closed headphones, and if what you mean is that the TH 600 sounds deeper, but it may be the extraneous effects of the chamber refractions making it sound artificially deep, then I agree that is possible if not probable. But we are talking about perception here and I do think that many people would hear the TH 600 as "going deeper". As well, I'm not sure that it doesn't go deeper in the real sense of the concept, and at a greater amplitude.
I will need to have time to test which right now I lack due to other commitments. My comments, which I stand by, were in the context of people who are leaning toward bass-head preferences, which I do a little, and as does the OP I was responding to. So with that in mind, and acknowledging your correct point about perception and reality in a purely measurement sense potentially differing, I agree that it may be nothing more than perception of greater depth from the TH 600, but regardless, as it stands now, and it may change with more listening/testing, I perceive the TH 600 as being deeper sounding.