This solution fails to address the issue of showrooming, because most users on cellular devices are smart enough to turn off their Wi-Fi in order to find better prices. Those who stay on Wi-Fi will be alienated by the limited browser experience. While Amazon’s new patent is potentially useful for controlling Wi-Fi only devices, those are a small minority of devices users have with them in the store. In total, since the restraints could potentially prevent sales altogether, Amazon and other retailers shouldn’t waste their time.
I think it largely depends on what is being sold. If you aren't selling private labelled goods, there are just too many budget sellers willing to offer free shipping even it if often means selling for zero to negative margins (see Sony TVs in the early to mid 2000s),
If, on the other hand, you have exclusive distribution for a brand or label and consumers are already willing to pay a premium for it, the shipping cost becomes an afterthought (or you can bake it into the product cost due to the higher margins).