Die states can affect coin features such as the doubling on a 9.
For example on the DP9 #4 there is a late state die collapse which causes the 9 to be so weak, that you can't tell if it has any doubling. On the bottom of Dr. Haxby's page for die# E25a there are photographs of an early and late state of this die. It doesn't make it a different variety, just a different die state of the same variety.
There are some coins collected as varieties in a certain die state, like the 1881-H large cent with heavy bead clash marks on the reverse. So it depends somewhat on your definition of a variety. I think there is a thread on the forum that discussed that very topic.
To be specific about the listed DP9's of the 1859 narrow 9 cents. All of those are different dies.
The 1859's are a fascinating study. Hope you'll dig into them a little deeper CoinHunter. I think you'll enjoy them!