I on the other hand don't find the 335 too bassy at all. It's quite well balanced and natural with a slight bit of emphasis, depth and extension at the lower frequencies. Bass-heavy tracks will sound bassy, while non-bassy tracks just gain that nice (for me) sense of weight. Then again, I'm a TH-900 owner, so I guess it's all a matter of perspective.
I've not heard the UERM, but someone I know who does own both the UERM and 335DW says the UERM is more clinical and possibly more accurate, but it's a bit thin sounding compared to the 335. I suppose it's a matter of what you're more familiar with. If you're coming from a 335 and like it, then the UERM might sound too anorexic. If you're used to the UERM, then the 335 might sound a bit bloaty.