If the tire will be used as a single front (steering) no problem other than POSSIBLE minor alignment error.
If it will be used as one tire of a dual set that is a other problem. Remember your HS Physics 101 the relationship between the diameter of a circle to the circumference is- Pi= 3.1416. (D x Pi= C) So the smaller tires circumference is approx. 1.5 inches less or the larger tire circumference is 1.5 inches larger. Which means the larger tire will have more weight on it, now you have to assume that the larger tire also will have ZERO slippage. Now with both rims/tires bolted together and the larger tire having zero slippage the smaller tire will have rotated 1.5 inches less/revolution than the larger tire, ie there will be 1.5 inches of slip for every one revolution of the set! So the smaller tire will wear out faster than the larger tire. Now we all know that there is no such thing as ZERO slippage, so it is a complex issue.
A truck driver years ago told me that when they pick tires that they use as a set of duals they measure the diameters and that they have to be within a certain ?? limit, I cannot remember for the life of me what it was! Now, maybe with radials and new manuf. processes maybe that is not required now.
So to answer the OPs question it will wear out faster or maybe not, it just depends. If it depends on calling out a service truck or wearing out a tire I would sacrifice at tire. At least for hundred miles but keep my eyes on it!