No. I worked up all the classes for FTW with my son's expert help, and in every case, he played better than the bot. The bot has no situational awareness, or even navigational smartness - it will continually bonk it's head against the corner of that building for quite some time before giving up and going elsewhere. It doesn't recognize that you should 'avoid' this group, or know that a particular NPC in a group should be avoided (Azshara, Millhouse), and concentrate on the casters. It doesn't even recognize when pets of party members are under attack - only your pet.
Finally - it can't 'get out of the fire.' It will stand in Mannoroth's fel flames until it dies. My son calls this 'zero effective dps.' We saw it a lot in guild raids with older men - they had great DPS while they were alive, but they just couldn't hit that 'Hour of Twilight' button to save their life. When you're dead, how much DPS do you get? I felt better about my lackluster skills after that - at least I am young enough to notice when flames are licking at my feet.
That's not to say the bots aren't good! It plays better than I do, for instance, but I never was that good of a WoW player. But bots will always compare poorly against expert young people who are seriously into it.