I've yet to hear either the HE560 or T60RP, but Fostex is good for making non-laid back headphones... both planar and dynamic. They all have some focused character to them. For any planar you will need proper amplification (high current, warm amp) to be able to hear what they really sound like, will come off flat sounding if not powered right. An amp where the maximum power output is several watts and focused between 50 and 100 ohms will usually let you know it was designed around specifically driving planars.
Of all the planars I've heard so far, the Argon Mk3 is the only one I REALLY like because it is the least planar like in sound, more along the lines of a very good warm, punchy dynamic headphone combined with planar technical ability. Most planars are too flat/sterile sounding for my taste which is why I prefer dynamics and electrostats over planars.