Do you know how much a bazillion people would give for an indoor? You should have equal riding rights, but if she is paying them to exerscise the hroses...
I used to ride in an indoor, and it was nice when the weather was cold and crappy! When it was a nice day outside, I would like to go to the out door ring. I ride out doors all the time now, regardless of weather, and I still enjoy it.
I don't think that the OP should have to 'bow down' to these kids because they are jumping, helping out, whatever. If they are helping out, they should respect the people that they are helping! I have a work-to-ride sort of program at my ranch, and we are always taught that the costomers are taken care of first, then we may ride. After all, their money keeps the horses around. She should not have to ride in poor conditions all of the time. And no, I do not believe that jumpers have 'the right of the ring' because they are zooming around, western/flat riders have some say, aswell. :)
And OP, you should definitely talk to your barn manager about this. You and your horse should not be in danger because of these kids, weather they are zipping around, or you have to ride in these rooted conditions. :)