HEADPHONE surround? Because I hadn't heard that Onkyo had a headphone DSP that will make headphones seem to create directional audio... usually they just combine L Front and L Rear simply into just a regular L channel, same for right, and crossfeed the center channel 50/50 between the headphone's L/R channels. It's possible the Onkyo has a proprietary Headphone DSP... please tell us with any headphones if it sounds good!
Agreed with PurpleAngel, the final determining factor is how you feel it sounds after auditioning it.
Planar headphones are unique in that they don't change with output impedance, so that isn't a factor for the HE400i (or Oppo, Fostex, Audeze). The K7xx range of headphones happen to have a practically linear impedance curve, so actually output impedance has very little effect on them either.
What matters more is other factors about the headphone amp section of the Onkyo: total harmonic distortion, where the distortion happens, if it can supply plenty of current at a voltage appropriate for listening volume, if the Onkyo has an apparent sound signature of it's own... the short version, plug it in and test it out. Could be better than you think. A dedicated headphone amp might sound better, but you may feel like the Onkyo is good enough not to bother with trying to find another solution.