More the other way around. Sturmey-Archer has offered various models of hybrid derailleur+hub gear sets since the early 1950s.
I knew that Sturmey Archer were into three speeds for almost forever, but only recently have I learned that they also had one with a freehub on it.
Saches (spell?) 3X7 hubs which preceded the Sram Dual Drive were common a long time ago on folders.
I am not doubting you, but I have not seen any Sturmey Archer hubs since the production moved to Asia.
Unfortunately, Sram dropped their Dual Drive a couple years ago so it is nice to know that there is something similar available to replace it.
Back to my original comment, if you are a strong or heavy biker, that that big of a cassette you could be putting a lot of stress on the hub internals. On the other hand if you are a light weight person that would not put too much torque on the hub, it may work well.
On my folder I usually have my Dual Drive in the overdrive mode, but the steep hills require low gear on it. Am running an 11/32 cassette.