Jose Maria Olazabal would surely have done just that instead of hobbling his way round the European Tour with his own injury back in the nineties. After all, then no golfer has an advantage. Golf has precious few physical elements to it. Its close enough, as it is, to the no man's land between sport and game. But that's mere semantics more fundamental, traditional issues are at stake.
Endurance is as crucial to golf as it is to the marathon.
Beyond that there are the more subtle pleasures and values of walking the course. The feel of the turf under the feet. The better judgement of length, breadth and perspective that's lost with a game on wheels. Not that it makes much difference to hackers like me, but you won't find many single figure handicappers at your local course revving their engines at the first tee. Which is why Casey Martin's case won't mean we're going to see a fleet of buggies driving around Augusta.