by properly if you mean ear bleeding levels, no it will not do that, but it will be sufficient to play games / watch movies, and hear music at a reasonable level 55-70 decibels in your ear. However please note that your sound will be lean, because of bass/duty cycles. Bass likes energy. Your best option would be to tell the sound card (unless you need it for recording), and buy an amp/dac combo, or just a headphone amp and connect it to essence.
I don't own the O2, but I own the JDS labs element which is close to the O2 - my HD 650 sound great
I don't own the Jotunheim, so I can't comment on the sound - I do own the AudioGOD 28, and it is a very good pairing with the 650