Originally Posted by sivat
I don't think what the OP asked about has anything to do with skid patches. If both the chainring and cog have even or odd teeth, the skinny links of the chain will always hit the same teeth, and those teeth will wear faster. If you have an odd/even setup, the skinny links of the chain will alternate on the ring/cog and make for more even wear. You can see this if you are running both even, every other tooth on your chainring will be dirty.
Sheldon Brown recommends an even/even for the same reasons that you recommend an odd/even.
From Sheldon Brown:
With even numbered sprockets, only the teeth that correspond to the "stretched" half links get deformed, and by doing so, they work fine with the elongated half links. The alternate teeth don't wear as much, since they are dealing with normal pitch half links.