Probably something like: Typical cranks/year (two per day=730), time spent running alternator on each crank (2 seconds), average mileage per year (15,000 miles)
730 * 2 = 1460 seconds (24 minutes, 20 seconds) every 15,000 miles
Let 1460 seconds equal X.
There are 21,600 sets of X in a year. If the turbine only spins half the time, that's 10,800. So, if X also represents 15,000 miles, then:
10,800 * 15,000 = 162,000,000 miles
Looks like "over a million miles a year" to me with plenty of wiggle room for calculation and assumption errors. Someone please correct me if I'm wrong.
If you just consider the rotary distance traveled by the brushes in a year, that is likely far less than the number I came up with, so that may be where some of the misunderstanding comes in.
Also, my last Camry alternator kicked it after 30,000 miles. This one has been in for about 50,000, so "results may vary," as someone else said.