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!!
Actually the ministry has a trace spell, evidently, on the whole of magical Britain. Magical misdemeanors from underage wizards go largely unpoliced in all magical households, explaining the fact that several familys, such as the Malfoys and the Weasleys have sent children to Hogwarts who openly acknowledge having learnt spells outside of Hogwarts. You may recall, once the ministry was in Voldemort's pocket, the trace was used to track down underaged wizards not in Hogwarts. I'd always supposed Hogwarts worked in conjunction, or possibly with special permissions, from the ministry to use the trace to send letters to children who had performed slight magical acts, such as Harry phasing his cousin through the glass at the snake exhibit.