You don't ask them, Hey can you put a 2013 battery in my 2010? They will look at you funny.
Do they still have new and fresh 2010 batteries? SHOULD. 3 years is not that long.
Will they give you a specific battery made for the 2010? YOU DON'T KNOW, THEY WON'T TELL YOU. They will give you any battery that is COMPATIBLE with your machine. Bottom line, they will guarantee it will stay at least 80% healthy for 1,000 charge cycles (or something like that, don't shoot me).
OP you are overthinking.