> And we know that Pluto is the furthest away planet (sue me)
I don't need to sue you. It's just entirely incorrect by any sane definitions of a planet. It's not the further if you include similar bodies or not a planet. As I have no interest in saving American misplaced pride (because let's not kid ourself it's about anything else), I don't see the point of spreading misinformation.
> Because more people know about Pluto than Eris or Sedna
Only if you were born before it was retrograded which will be less and less likely as time goes on.
> My cosmological knowledge is above average, but I don't know off the top of my head if 700 AU is super-duper far away or still in the range of the gas giants.
I'm not convinced that giving it in multiple of the distance between Pluto and the sun is in any way more useful than distance between the Earth and the sun or that it helps conceptualise the distance relative to the gas giants.
Anyway, Pluto orbit is highly excentric so you have 20AU of wiggle room here when considering distance.