http://forum.square-enix.com/ffxiv/t...Temple/page123
Commonly accepted stat weights do not support the Fuma overall.

http://forum.square-enix.com/ffxiv/t...29#post1756129
In this thread, I also compared the best sets (pre-T5) of either in each case and plugged it into Valk's calculator.
Even with a lower accuracy (which valk's calculator doesn't take into account), the Fuma set lost.
If you've got the Allagan Baghnakhs, you'd have to sub in even more accuracy obviously.

I haven't tested it myself, but the general math doesn't put the Fuma over the Melee.