Firefox

That sounds cool, but I'm imagining trying to explain this to a grandparent after setting them up with Firefox and they just want to copy and paste but are overwhelmed with options in the drop-down. I understand the idea you won't always want to remove the tracking, but maybe if it was a keybinding suggestion similar to using ctrl-shift-v to paste without formatting you could use shift to copy without tracking.

Edit: if someone else has another idea for making this easy to use but not confuse the tech illiterate and to still allow non-modified links to be copied when needed I'm open to ideas.