Yup. I can agree with that. Really, could just about see three books set at the school, then moving to another PoV character for another trilogy, maybe a third one for a final trilogy.
The Next Generation bits at the end of the Potter books - just painful, smelled/felt like pre-1950s children's fiction. 'Children getting their parent's lives' stuff. Not something you'd expect from a end-of-20thC work.
So, Potter-verse, deeply flawed, still amazing bit of 'mythologucal engineering' (just don't look at the magical humans, too hard).
...
If Wizarding Britain is to continue (i.e. New Gen be credible) then there needs to be a world-morph. Mundane Britain needs to stop progressing, maybe roll-back, a bit, to end of the 1980s. Surveillance tech needs to wither away, the Internet to die, hard. Which is, arguably, pretty monstrous (particularly if you're a cell/mobile phone addict
).
Saurial spotting a world which looked as if that sort of... 'temporal pause' was happening to it, might be a bit... irked. And, looking for a Skitter (who's on an otherwise bad path) to 'light a fire under them', yeah, I could see her doing that.
Saurial: Fyre One!