Wow, thank you! Yeah I'm down with that, though it motivates me to contribute something specific... I'll figure it out. Apparently, it must be the Omni
Maybe you didn't get a reply because you didn't link to the actual product, so anyone like me, on our day off work looking for fun, would have to do some digging to see what you're talking about, AND we don't immediately reply because we haven't heard them ourselves.
That said, I looked it up. The Pioneer that is actually on the page you linked seems really attractive, and it uses Dolby Headphone to create technically high-performance virtual surround. BUT... The Sony is one of those headphones that uses separate drivers clustered in each earpiece. You can't use it's decoder with other headphones (it's a special processor to tell the Sony 5.1 headphone to play
this sound on
that driver...). Also, multi-driver headphones compromise sound quality and refinement in order to cram those extra drivers (speakers) inside,
plus the compromise in amping and DAC hardware limited to what can fit into the wireless headphones themselves, it's easy to make an educated recommendation that the Q701's (which I do have LOTS of experience with) would outperform the Sony F1, especially when you pair it with a decent amp.
EDIT:
Honestly dude, kinda wishing now I hadn't wasted the time looking up the answer to your question... I don't mean to be rude in saying that, but it would've been more respectful of others on your end to link to the right stuff, because basically I had to to the same web research you could've done yourself. But, since I found it, here's the info:
The Sony MDR-F1:
Discontinued, few reviews. Looking at it, the headphone is a stereo unit that looks like the predecessor to the Sony MDR-MA900, not the wireless Sony mentioned in the review round-up in your link. Similar earcups, impedance ratings (and impedance compensator), driver size, and basic technical stats. If it's anything like the MA900, then it's a very good and competent headphone, but I don't know because there are very very few reviews and none by people whom I've got a grasp on their tastes and how they'd stack up to other headphones.
The
PIONEER se-dir800c:
Looks like a decent unit, and now I understand why your link went to the wireless Pioneer headphones that come with this decoder. It uses the same Dolby Headphone surround processing as the Mixamp and DSS, discussed at length here, but I don't know how the built-in DAC and Amp compare to the built-in DAC/Amp of the Mixamp. Google search unearths this useful resource for you:
http://www.head-fi.org/t/193743/pioneer-se-dir800c-vs-sony-mdr-ds6000/0_30