There are times in shooting sports in which you are "forced" to shoot at rather slow shutter speeds. This will be true if you shoot amateur sports at night either in a stadium or a gym. Lighting in those venues is far less bright than professional sports venues and a small fraction of the light outdoors in the sun.
However, when you absolutely need a faster aperture in situations such as in a gym or in a dim non-pro playing field, a fast prime will be the ticket. The fastest zoom lens is f/2.8 and is just not fast enough; while many other zooms are f/4, f/5.6 or even f/6.3 at the long end of the zoom.
No! Image Stabilization or and other anti-shake technology doesn't stop moving subjects but, and this is a big BUT, you can get the general image in the frame sharp and have the subject blurred. Sometimes this provides a nice effect.
You can also use the panning mode 2 (some lenses automatically compensate for panning without switching modes) and pan with your subject at a slower shutter speed.
Not all "SPORTS" subjects are of fast moving subjects. Quite often you can shoot "at the peak of the action" and use a slower shutter speed to freeze the action. Additionally, shooting a moving subject as it approaches you directly or moves directly away from you will work with a slower shutter speed than shooting a subject which is moving across the frame.
Also, some sports images are of athletes that are not moving such as lining up in football or at the starting block in track.
Finally, IS capability will allow you to use your telephoto lens in a myriad of venues. While now, you use the telephoto lens almost exclusively shooting sports, one of the traditional tele lens venues; having IS or some other compensation technology will allow you to hand hold your lens in a myriad of other venues. I carry my 70-200mm f/4L IS lens everywhere and I probably shoot 1/3 to 1/2 of my images with that lens. BTW: because of IS, I can hand-hold this lens successfully in lower light levels than I can hand hold a 70-200mm f/2.8L (non-IS) lens. With IS in an f/2.8 lens, it becomes even a more a viable lower light glass.
Yes, lenses with IS capability are more expensive than non-IS lenses! However, lenses last a long while and amortized over that time, the extra money is IMO well worth the expense.
AND... You can always turn off an IS equipped lens. You cannot turn on IS in a lens that is not equipped with that technology.