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I don't know about the big sprocket causing the accelerated wear, the more teeth, the less wear it'll receive, the sprocket is actually steel with an alu carrier.
However it's very likely the chain line being a little more aggressive than it should be, I solved this issues on a customer's bike by putting the chainring on the inside (bit ugly I must admit).
Check out your chain line by just looking at the back and seeing how aggressive the chain bend sideway from the biggest and smallest sprocket.
^^ mm well you're not making it easy for me to decide.
I don't know how many Ks I have ridden, but on my 1x10 bike, 2-3 muddy MTB rides week for about a year and the chain just about needs first replacement according to Park wear indicator tool (although I do wipe it down after every ride).
My 1x11, that's too new to measure, but apparently needs replacing at the .50 mark rather than .75 mark as recommended by Park. And because the big rear sprockets are alu they'll wear quicker, too.
Now I have heard that stainless chainrings not only last longer than alu ones, but because they don't create as much abrasive detritus from their own decomposition, the rest of the drivetrain lasts longer too. My 1x10 bike has a stainless ring.
But you could spend your whole life worrying about these things rather than actually riding. I think I will just get the bike and see how I like it, Octalink cranks and all, it's only a few hundred quid at the end of the day.