I swap back and forth between a 15t &16t front sprocket every 3,000-4,000 miles or so for off-road use.I have never had a problem.But I tried a new sprocket on a VERY,VERY WORN CHAIN and didn't even make it 1 block before it tried to lock up the rear tire !!.
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A worn chain and a worn sprocket are a matched set. You would have done as poorly with a new chain on a very, very worn sprocket.