TH-900 is in another price range than the 560. Most fans of HFM wouldn't list the 560 among their favorites.
HEKv1 have a reputation for soft bass "bloomy" bass, but not much on impact. A can like a Senn 600 or 800 will give lots of leading wave impact, but are well overdamped and not bloomy. The art of making cans is to give the impact and a suitable sustain that matches the music - and not dominate the rest of the sound, or leech into the lower mids which the Audeze LCD-2's do oh so well - not to mention where the heck are the upper mids and treble? LCD-4? Maybe, but we've zoomed out of the price range of anything being discussed in this thread.
Overall HFM's are good at both - in terms of musical reproduction and not bass head ear candy. The 500 (the best overall can you can find used for $350-400 IMO) has a bit too much bloom. If you use a potent SS amp - it will tamp that down a bit. The impact isn't perfect either (excellent in the mid and upper bass, slight mute in the lower bass) but the mids where the music lives is superb, and the treble is also very good, and superb at the price.