The problem with rigid mountain bikes is they are very solid frames. How's that a problem you ask? Well, it's a problem if you compare it to a more flexible city bike. A flexible frame and fork will act as a damper to smooth out the bumps in the road. Ever tried one of the classic city bikes with the fork bent awkwardly forward? Those forks make these bikes very comfortable to ride, even with thin tires.
Very solid forks are necessary for disc brakes, or they'll bend and jump back and forth every time you brake. For a solid bike, you have to compromise. Either you go with disc brakes on a very hard bike, which will give you better braking power in any weather, or you go with a flexible frame, which will make your ride more comfortable.
An usual compromise if you need disc brakes is to use "fat" tires with lower pressures. There comes a point where if the tires and the frame is too rigid, the vibrations will slow you down. You have to find your sweet spot, which depends on many factors including your weight, the weight of what you carry with you, the size of the tires, the condition of the roads you'll be using...