I'm pretty sure that's not an approved method for any tire installation. Tires really don't like volatile organic compounds and fire...
Actually I've seen it done many times, not only on tractors, but big rigs too. Most of the time I saw alcohol being used because excess liquid evaporates and leaves less residue than something like starter fluid.
Also, tires deal with volatile compounds every day - they're designed for that. Roads and parking lots are never degreased or otherwise cleaned of volatile organic compounds, and there's plenty of them found there. The fire is a non-issue because it's the fluid that's burning, not the tire, and once the oxygen is gone the flame goes out, so you don't have to worry about cooking the inside of the tire. Nobody's saying empty a whole can of ether or dump a few pints of gasoline on the tire... just a little squirt to get it to burn to get the rapidly expanding gasses to seat the bead on the rim.