Keep in mind Ghyan is not just the parts of life you happen to like, it is also more fecund pathogens and plagues. Nurgle would love a city flooded with Ghyan and would dislike one with too much Shysh.
It isn't, though. Like, it very specifically isn't.
'Ghyran is the aspects of nature people find positive', isn't
precisely accurate, but it's... fairly close. It's inimical to Nurgle, and would prevent the emergence of disease by encouraging stability (disease is, after all, a dysfunctional ecosystem).
Ghyran has precisely one spell having anything to do with 'pathogens', Ferment, and quite a few 'Remove Disease' spells.
Like, I feel that an Ametyst Patriarch might reduce general life expectancy for exemple.
Eh, Amethyst wind is about evanescence and stillness and calm, not
everything must be destroyed. It might reduce lifespan in that there would be less extreme treatment for the mortally sick, but I'm dubious about that actually helping at this level anyways (short of, well, magic)
If Teclis came during one of these trials do you think anyone would object to him taking it? I doubt it. In fact he could likely become Supreme Patriarch not during the trials so long as he promised to stay the whole term.
Someone might. Whether they'd actually be able to stop him is very unlikely. Of course if something happens to motivate Teclis to do that it's probably because something has gone horribly, horribly wrong with (this specific corner of) the world.
No. The spell says only units with the designation 'War Machine' can be summoned. The Steam Tank doesn't qualify, as it is considered a Chariot.
That seems somewhat arbitrary based on game mechanics.
... presumably the actual reason is that it summons a
gun, not 'a vehicle which happens to have a gun mounted in it'.
So to the question of does ambient magic make life in Aldorf worse for the common man the answer is yes no matter who heads the Colleges. I have to say I prefer living in our nice safely isolated wizard's tower where the locals generally see only the benefits of magic. One more reason not to take a job in Aldorf, not only are the locals prejudiced against wizards they are at lest in some measure right that magic is bad for them.
Teclis de-euclidianing Altdorf was a very definitely weird idea, that's for certain. On the other hand, the College Towers are so impressively imposing and/or hard to find because if they weren't, people would attack them. The Night of a Thousand Arcane Duels didn't help, but it happened before too.