It's possible that the specific SE pair that you have/had has less bass than the original ivory 598. I say it's possible, because that's exactly what happened to me. A couple of years ago, right before the SE came out, I bought an ivory 598, and I loved the sound from the beginning. The bass was a bit on the light side, but not lacking, especially compared to almost all open back cans I tried around that time. Then the SE came out, and I returned the ivory 598 and ordered the black SE instead for the color and extra, short cable. The SE was a disappointment from first listen. They were very light on bass and much more treble focused. I hated the sound. Ultimately, I returned the SE and bought the ivory 598 again, and have been happy ever since.
You are correct that for the money, the HD 6XX is a more capable headphone IF you have a good, quality external amplifier. If one is just listening out of a smartphone, laptop or other device with built in amp, the HD 598 is a better choice, IMO. The HD 650/6XX can sound a bit flat and boring out of a device with integrated amp.