There is not going to be any “direct support” for HikaShop for Purity III.
You can use HikkaShop on your own – provided the most current version of HikkaShop is compatible with the Joomla version utilized within Purity III. The same goes for the other extensions/components you mentioned.
True enough, Phil – and I stand corrected with regard to direct support for HikkaShop
In the interim, my secondary comments stand . . . . .
Purity III is, at it’s core, a Joomla based template and – as such – those extensions which are compatible with the relative underlying core version of Joomla can/should be able to be utilized accordingly.