Yes n no. Road courses have lots of opportunities for uniqueness. At NBA only Getty can strobe, go up high and behind backboard. Some sports you are limited while others endless. Same at NHL in the net.
One of the best swimming n diving photos was last year at The Olympics by Al Bello. He went scuba diving during the events. He also put a camera above the high dive. Of course not everyone can do this but he did things to get him self there.
Getty petty much controls or is listed as the official agency of most sporting events, they have been for a number of years. Many of the photographers they use have been around shooting sports for 30 years, working for other agencies. The biggest being Allsport USA and Allsport UK, both had some of the best sports shooters in the world working for them, supplying photos to all the major sports publications. Getty bought Allsport and Al Bello continued to shoot for Getty. I had the opportunity of shooting boxing with Al back in 1990, he is very gifted and a true professional. A lot of what the top photographers do isn't all that difficult, what it takes is a few things, being able to get cameras into positions that other photographers can't, reputation gets you this, having the gear and skills to use it, and then luck that it works out. Putting a camera at the bottom of a pool is permitted at many swim meets, all you have to do is have the gear and ask. Sports Illustrated has been putting remotes underwater since the early 90's. The wire services have all been doing the same, it really isn't as special as it once was. Being able to place remotes will give the photographer the opportunity to create different images that stand out from others.
I put a remote in a drag car car in the early 90's, problem was I couldn't fire it until he left the line and it had a short range, picture looked ok, but nothing special, just the way it went. Basically if you have the gear, the skills and ask the right people, you can generally get a camera into almost anywhere. People that don't understand, think it's something they could never do, but in reality, anything is possible.
Inexperienced photographers are intimidated by other photographers, and feel they are restricted in what they can do, just ask the event director, all they can say no, but asking the question might just get you something no one else has, but don't start telling everyone or bragging about it, once that happens you'd be surprised how quickly your single camera had company. Most pro sports have deeper restrictions, as Brian mentioned, the NBA is very controlling with all their images, probably more than the other pro sports. If you want to try something new, ask around at some amateur or club events.