The AH case is slightly longer with slightly longer body & has a narrower, smaller diameter shoulder.

Thus, .17 HH (Hornady Hornet)dies can be used to load the Ackley Version, but the reverse is not
totally acceptable due to overworking the shoulder area. Length adjustment is easy.
.17AH
A Wilson hand die set, used with an arbor press would be totally acceptable as they are necking dies only.
The plus with these dies, is different bushings are used for different makes of brass and the (I feel) superior
RP brass (in the Hornet) can be used with a .188" neck bushing.
.190" or .191" bushing is used for WW brass.