How interesting to find discussion on my favourite cartridge.
Yep the Hornady brass is soft, RWS softer again.
I have found that the scale from hard to soft is Rem, Win, Hornady, RWS, and there are case dimensions that vary too.
Never used the TB in 17H (mine is 17Ackley Hornet) as far as I know ADI that make the TB have not recommended it for use in smaller cartridges,
mind you when they first brought it out it was not recommended for use in Bottle Necked Cartridges either.
I make all my own 17H brass from .22H, but I have a forming die that does the neck, rare to find now that there