The Host does not control the outside.
If the Host were to come on to this forum we would advise a statement in the listing like “Please understand that I do not control anything outside of my apartment. The building itself and neighboring buildings are unkempt, weeds, etc.”
We’d also likely advise the Host to themselves put lightbulbs in the hallway, fill all gaps that would allow mice to enter, make sure that the plumbing (toilets, shower/tub drain) are working well, do what you can (Google it) to get rid of drain flies.
We have had guests come on to this forum complaining how they could not control shared spaces like hallways and that their buildings had trip hazards or other problems that they wish they could correct.
The advice such Hosts were given was to: 1) disclose the issues in the listing and 2) work with the building manager/owner to improve the building and where possible/feasible, do it themselves (like lightbulbs in the hallway).
Remember, the Host will likely try to get your review removed. So if you discuss the adjacent buildings the Host will try to remove your review based on review content guidelines, one of which is that the review is relevant. The condition of adjacent buildings or shared spaces and the outside of the listing’s building is not controlled by the Host and if part of the review could be a basis that the Host uses to remove your review.
Make sure that your review cannot be removed. You have a few samples here and you can also draft review for feedback here.
But what is Airbnb or the Host to do about this?
You say ‘TWO-MAY-TOW’, I say ‘TWO-MAH-TOW.’ Who knows what your standard of ‘noisy’ is? Is it reasonable? Did you contact the Host for whatever intervention the Host could do?
My feedback to you is that you are angry just now, which is not the mind-set you want to have when you write a review or write the Host or Airbnb.
When you write things like this above, for me it challenges your credibility. I think to myself "How does he know that the building has not been ‘kept on’ for 50 years? Was it 40 years? 10? What does ‘kept on’ mean? How does he KNOW this? Did he just make this up? What else is he making up or exaggerating? "
Again, I think, how does he KNOW? [original 50 year old floor]
I also think ‘So what?’ Some homes have 100-year old floors, and there are probably scratches, gouges, stains, damage to the floors here and there. It happens on things you walk on.
So, please keep to the FACTS. Not what you think, guess, not your impression. Avoid loaded or vague or extreme words (“everywhere”). [If I’m the Host I just to have to take a picture of somewhere outside without weeds to refute you. But, wait, I don’t have to do that because it’s irrelevant.]
I think you need a little time and distance to process and ACCEPT what Airbnb told you, even if you disagree with it. It is what it is.