As for forging vs. stock removal, the heat treat is more important than the variety of steel used.
I was kind of thinking that the same steel would be used for both, and with the intent of trying to get identical heat treatments.
Some steels are better suited for forging than others.
As for the heat treat thing, Wayne Goddard once said that he's proven multiple times that a pedestrian steel with a good heat treat will outperform a super-steel with a bad heat treat. I know I found that passage somewhere, so when I can be bugged to find it again, I'll post it here.
But if we use different steels for stock removal and forging how can we tell whether any resulting differences are due to the steel or the process used? If we find a steel that is equally suitable for both then at least any differences are likely due to the process used.