Warning: As per the official spoiler policy, the following discussion may contain unmarked spoilers for up to the current chapter of the Methods of Rationality. Proceed at your own risk.
Assume HPMOR was written by a super-intelligence implementing the CEV of Eliezer Yudkowsky and assorted literary critics. What would it have written differently?
... is what I want to know, but that's hard to answer. So here's an easier question:
In what ways do you think Eliezer's characterisations/world-building/plot-fu are sub-optimal? <optional> How could they be made less sub-optimal? </optional>
(My own ideas are in the comments.)
To put it another way... Assume a group of intrepid fanfic writers in the late 2020s are planning to write a reboot. What parts of Eliezer's story do you think they should tweak?
And just to make sure we're all on the same page: Eliezer isn't going to go back and change anything he's written to bring it in line with anything suggested here. This is purely an "Ah, just consider the possibilities!" thread.
... which means that we can safely suggest drastic rewrites encompassing 30 chapters or something. Or change fundamental facts about the world.
(Exercise due restraint on this one. Getting rid of the Ministry/the Noble Houses/blood purism would probably turn the story into something completely different; this isn't what we're trying to do here.)
With that, let the nit-picking begin!!
In the original books, Harry's cohort was born ten years into an extremely bloody civil war. I always assumed birth rates were extremely low for Harry's age group, which would imply that the overall population is much larger than what you'd extrapolate from class sizes.
Of course, the numbers still don't work. There are 40 kids in canon!Harry's class. Even if you assume that's a tenth of the normal birthrate and the average person lives to 150, you get a wizarding population of 6,000.
In MoR, class sizes are around 120 (more than half the kids are in the armies, and armies are 24 each), which is still problematic - with the generous assumptions above, you get a population of 18,000. But MoR does seem to hint there are other magical schools: Daphne at one point wonders if it's worth going to the same school as Harry just to go to the same school as everybody important, which supports the theory that there are other magic schools, but that almost everyone influential went through Hogwarts.
In that case, shouldn't we see evidence of a baby boom occurring immediately following the end of the war, probably in the form of the years after Harry's being noticeably bigger than those that came before? canon!Harry is rather unobservant, but you'd think he'd have noticed at least that.