I call it morally ambiguous because you're caught up in the middle of doing a lot of awful things that directly lead to immense human suffering and misery, rather than just ruining a few careers. Based on your definition, it doesn't qualify as morally ambiguous, which suggests that I should have described it another way. How about I call it "bleak" instead?
Bleak and or dysptopian are fine, it's just that morally ambiguous to me implies a general sense that the runners are in a situation where they have a hard time telling wrong from right and are unsure if they are doing the right thing or the wrong thing at the moment. Burning Bridges is a very bleak mission for sure because the runners can tell wrong from right, but are deciding to do the wrong thing anyway so that they can get paid, and when all is said and done....
The only one who gets what they want is Aztechnology who are as always the biggest dicks in a city filled with them
So yeah, it sounds like our disagreement was more to do with word campaign.
Well that and I never had too much trouble (only one combat my team has taken part in has made it past the first turn and that was because the bad guys were so spread out) with fighting.
Though we also have been relatively smart in the fights we have picked, we manage to preform...
Everybody is your friend: This entire mission's combat was resolved with one well placed stunball.
Ready Set Gogh: Not a signle shot was fired.
Knight at the Opera: Not a signle shot was fired. Would have been no offensive magic either but the mage I was extracting Daimen Knight with failed a sneak check. We split up and he stunball, dust develed and blizarded his way clear.
Firestorm: All combat was resolved with two well placed stunballs.
Now for Something Completely Different: Test of self and mini-gun used as door opener to let people get out of the party.
Food Poisoning: Combat ended with a stunbolt and a single long burst.
Though on the other end of the spectrum, we did recreate the Lobby Shootout/Helicopter Rescue scene from the Matrix in Block War, and we earned a point of notoriety for taking out 30 mook guards with some well placed suppressive fire from a helicopter mounted mingiun
Also for complicated reason Jackknifed's climax invovled us fighting two Shadowrun teams at the same time, though I managed to take out 4/5ths' of one team in one combat pass....
But combat is a finicky thing in shadowrun so your results will vary even more than your character's morals.