iPad battery service is $99 for all ipads, including the Pro. Apple - Support - Service Answer Center
Unfortunately MS would not sell me extended service after I missed the very short initial window of opportunity to purchase it. Apple will sell a warranty any time within the first year. And from experience, when you are close on the warranty timing, they have been extremely accommodating.
Thanks. That was my mistake. I was under the general servicing tab and missed the battery one. In which case, yeah, $425 is rather expensive in comparison.