O.K., counterpoint.
All you old fogies with your Buicks and Toyotas, keep your inefficient, heavy, slow under-handling shafts. Change the splines when you change the oil. Woohoo.
REAL MEN use chains. And whips, if they have a significant other (oops, wrong thread).
If shafts were so good, all race bikes would have them. What do race bikes have? Chains.
As I was pointing out to bwringer this weekend, the key is proper maintenance. If you ignore your significant other, treat her/him like a piece of lawn equipment, how long will happiness reside? Not long, I suggest. The chain on my 1100E was on it when I purchased it, so its history is unknown. But I have put almost 10k miles on it since I purchased it, and adjusted it only once. And it has plenty of life left, as do the sprockets (well, I can only see the rear, but since the front is of harder material I assume the front is in good condition as well.
Here's they key:
Understand it is an item that requires periodic maintenance.
Start with quality sprockets and a quality chain.
Clean the chain prior to lubing it. Don't use a penetrant such as WD40. They can get under the o-rings and wash away the internal lubricant. Clean the teeth on the sprocket at the same time, since the chain can pick that junk up too.
Use a quality lube, not some junk you get at Walmart.
Wipe it down afterward. I usually wait an hour or so to make sure it sets. This is the most crucial step, IMHO. Excess lubricant will pick up road dust and dirt, which will work its way into the orings and cause premature failure. Also, it prevents the tell-tale strip of lubricant up the back of your riding pants, a sure sign of a chain lube rookie.
So, to the point - Advantages of chain to shaft is ease of changing ratios, lighter weight, which should mean better fuel economy, better handling, the list goes on.
So buy a chain, or get the shaft.