I dont see that as an possibility given all the complications. You can make a custom extension work for a particular site to fetch the price and go through a shit ton of possible variations of browser, os, screen resolution and all those sht that goes in the fingerprint, reloading the page everytime but that would be awfully ineffective and slow. And making a generalized extension that can do the same for every website is pretty much impossible.
Someone posted about a website called canvas blocker to your original comment that could find the fingerprint, I haven’t got a chance to test it myself but you can try it out and let me know if it was any good.