To me, the greatest benefits of using sheet film cameras are:
1. Movements. Though it is not always the case, most sheet film cameras offer some movements as a rule. So do some medium format cameras...but it is usually assumed that when you say "4x5", you mean a camera with movements, and when you say "medium format", you mean a camera without them. Almost every shot I take, in any format, could be improved by some sort of movement, if I actually had the time and ability to apply it without missing the shot. Movements give you an insane amount of control over your images that just is not there with most smaller format cameras. If your subject matter will allow you the time to carefully set up your shots, there is no better tool than a view camera with movements, in my opinion. This is independent of format. Movements are movements, and have the same effect regardless of format, so it is not really a "4x5" advantage specifically, but most 4x5s do have this advantage.
2. That you are shooting individual sheets, not rolls. There are many positive aspects of this. Being able to duplicate exposures and/or process the same exposure (or different exposures) in two different ways is perhaps the most important one.
3. Raw image quality of the larger film is notably superior to medium format if you are doing very large-sized prints. With 4x5, you theoretically have approximately the same image quality in a 16x20 that you have with an 8x10 print from a 6x7 negative (assuming no or little cropping of either neg).
4. You can use fast films in large format, and given a certain sized print, the "technical quality" is higher than it is from smaller format negs of the same emulsion. This gives you all the advantages of fast emulsions (higher shutter speeds and/or smaller apertures, lower contrast, more latitude, more malleability, etc.), but without many of the technical drawbacks (lower sharpness, higher grain, etc.).
Numbers 3 and 4 simply have to do with advantages in film size. Number one has to do with advantages in control of your image. Number two has to do with advantages in exposure and processing controls.
The "it slows you down and makes you think" reasons do not make any sense to me. You can do the same with any format, and hopefully you do.