I lived with an HW19 MK4 for years and “lightweight” is the last word I would use to describe its inherent sound. It is a robust sounding table and one that some would call TOO warm sounding. I also used the Graham on a TNT 6 and there was no deficiency in amount of bass. So, I would look elsewhere for the reason for the thin sound that you are hearing. I do like dover’s advice re loading.
Having said all that, you don’t mention what speakers you are using. You provide an incomplete picture for anyone or give truly useful advice. If you were to state, “I bought a HW19 MK4 and I lost the great bass and warmth that my system had previously”, then, OK, something might be up with your tt setup. However, if your speakers are bass deficient then no turntable or cartridge setup will make up for the deficiency. What speakers are you using and is the turntable/arm a recent addition to your system?
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