.257 Roberts is based on the 7x57mm Mauser case. .25-06 on the .30-06 case (length 63mm). The shoulder of the .25-06 is halfway up the neck of the .257 case, so a rechamber will only work if the .25-06 barrel is cut off at teh chamber end, re threaded to fit the action, and then has the Roberts chamber cut.
Depending on who is going to do the work, it could cost more than just replacing the .25-06 barrel with a .257 Roberts barrel and headspacing it.
It can be done, only you can decide if the cost is worth the benefit.
As mentioned, downloading the .25-06 a little bit produces .257 Roberts performance. Top end .257 Roberts performance is 100-300fps less than top end .25-06 from equal barrel lengths.
Personally I don't know why you would want to make the change. But its your rifle, and your business.