There would have been absolutely nothing wrong with asking the bicyclist if he needed any help. Assuming that your not interfering with the first responders actions that is.
Example "Hi, I am Toad. I am a bicyclist, and I know what you are going through sucks. I thought I'd offer to help if you need any at all."
With that the rider can accept help or turn it down. If he asks you to do something, you tell the first responders that the rider has asked you to do "X" and ask them if they mind.
Sometimes it can be comforting to people just to know that others care about them.