What specific "better specs"?
Have you had an opportunity to go "hands on" in a store somewhere to actually feel and inspect the khan pros? Read the User Guide, check the manufacturer's forum and FAQs. See what other users (gamers in particular) might be saying or asking about.
You should be able to list out your audio and gaming requirements and then check off whether the stereo headset or the khan pro meets those requirements.
Especially with respect to gaming. For example, will surround sound help you "hear" more of what might be behind you versus just stereo?
Overall, audio is quite subjective - do you know any other gamers that could lend you the khan pro to try and test?
Even with better specs if they are uncomfortable...