DJ'ing and studio headphones are vastly different. In general. As mentioned several times now, DJ headphones mostly need isolation, durability, and accentuated bass and treble response so you can hear the beats in the mix. Most mixing boards have a high output impedance, but you don't really care since sound quality is secondary when you're on the job.
Studio headphones strive for more neutrality, and can be either open or closed. If mixing with headphones, I would also highly recommend looking into room/speaker simulators so you can check what your mixes sound like in different settings. You want good extension at both ends, and fast spectral decay. Recording headphones require low leakage (usually related to how well they isolate) and depending how you have the sound looping back they may not need a strong bass response if you're primarily focusing on a vocal.
Leisure headphones typically have a slight bass accent for a bit of that "fun factor". Treble presence is highly dependent on taste, though most will lean towards a slightly downturned treble. Many like to have mild treble spikes too, which can give music that extra "edge" or "sparkle". Age also plays a large roll in treble, as you lose your upper treble as you age, so headphones that exaggerate that may actually compensate for the lost upper end.
Just to be pedantic here... are you certain that yours are genuine?