How would you fell if prices on amazon were higher for you than for others because of your income, residence or historical purchase data? With all the margins going to amazon instead of the sellers.
Byw plenty other retailers already do or did adjust prices: Apple users are commonly targeted for being price insensitive.
Just shop using different browsers or devices. Use incognito modes for everything. Use multiple entry points. Use multiple loyalty cards (and don't intermix credit cards amongst them.
For a real-world example, I use 4 different Starbucks cards. Each gets very different reward offers, every time. Y