Tripods do take the spontaneity out of photography. For a lot of people, using a tripod helps them produce a lot of the SAME, exact shot. You know, the guy who sets up the tripod in one, specific location, then shoots thirty frames from that spot, then moves on to the next shot. When he gets back and downloads, he has a zillion of basically, the SAME shot, or shots made from the same camera position. SHots that are often boring, poor compositions.
One of the most-critical things behind a good photo is having the camera positioned in the right place.
The right distance, the right height, and the right angle. To me, those three things are MY TRIPOD. When those three fundamentals are employed to make a shot, then THAT is the real three-legged recipe for success. Distance. Height. Angle. It's almost always faster,easier, and just more practical to find the right distance, height, and angle when the camera is NOT locked on top of a bulky, cumbersome, slow-to-adjust tripod.
In many types of photography, all a tripod does is slow the photographer down, needlessly. And, it makes him LAZY after a while. He will set up, and due to the time and effort needed to unscrew and re-set three, or six, or even NINE leg locks, the tripod-based shooter will tend to grow roots. Not move. Keep the camera at the same height. Not be able to get to extreme angles because of the limiting nature of a tripod's range of heights.
So, as in many things, do not put too much stock in one way of looking at the world. If you want to be locked down, at one height, and stay at one distance most of the time, or set up only where three legs can fit, then by all means, revere the use of a tripod. It's great to talk about sharpness too, but watch out for subject motion blur and diffraction when shooting at those "tripod-mounted time ranges".