The CSMC "Period Correct" Pad is very flexible and requires no heating at all to conform to a curved butt. I have fitted up some of thes pads to some extreme curves. Below is a photo of one that was on a Parker that was originally fitted with a pad and that curve is original. The CSMC pad bent with no trouble. but it had a little of a hard time staying down in the very middle. For this one, the pad had to be glued in the very middle.
Also pictured below is a Fox CE with this pad fitted to a curved butt.
And also another parker with a Sput added to the pad in order to be able to properly replace a Dogs Head Buttplate with no modification to the wood in any way.
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However, a normal Parker curved butt is no problem for these CSMC pads.
Grinding them for a proper clean fit is another story and is best done by someone who knows what they are doing if you have not done one before.