With a carry-on only philosophy, I am unsure which shoe for hiking in the BO and Zermatt, even after reading older posts. I will use walking sticks, which will be especially helpful on moderate trails. I have high arches and rare bouts of plantar fasciitis so know how to ameliorate that. I will bring arched flip flops for post hike time. So, Hokas or Moabs?
I take it "Moabs" are Merrell Moab hiking shoes? I should think that if you need walking sticks, you'd want the better tread that I expect the Merrells offer over the Hokas. Really, only you can determine what shoes will work best for your feet.
Wear footwear designed for hiking. As mentioned above, traction is key, and the tread on your shoes or boots makes a big difference. Hoka makes some footwear for hiking, so if you mean those then great, but I would stay away from runners (other than trail runners). It is just too easy to slip when you have inadequate tread and a twisted ankle can ruin your hike/day or even your whole holiday.