It is a good idea to have a fire extinguisher in reach of the pilot's seated position in any aircraft. You may arrive to earth badly, and there may be a fire. Even a small fire is a hazard if you cannot get yourself out, and you cannot get the fire out. Even a small extinguisher might buy you the time you need to escape.
My friend landed a C206 floatplane with a small engine fire. It was a maintenance test flight, no fire extinguisher yet. It burned, and was a write off - prompt use of an extinguisher once on the water might have saved it. a few years later, his boss, also my friend, was a crash victim. A very small post crash fire went unextinguished for too long - he did not survive, partly because of the fire.
Carry a fire extinguisher, and as with anything in the cabin, assure it is secured against crash forces.