@Leo2768 If you have an issue which you find unacceptable, Airbnb protocol (and which is written in their Help articles) is to immediately contact the host. If the host is unable or unwilling to correct the issue, it is then up to the guest to either cancel and leave, or make the best of the situation.
If you continue to stay, the assumption is that you decided to accept things as they are. That it would be difficult or inconvenient for you to move is irrelevant to this policy. And if you don't notify a host of an issue when it arises, giving them an opportunity to correct it if possible (in this case, some hosts may have said "Oh, I'm so sorry- I had no idea they were starting construction. I can offer you a bit of a discount for disturbance."), then you ceratainly can't expect to be refunded.
What isn't acceptable is to complete a stay, and then complain after the fact and expect to be refunded. Would you go to a restaurant, eat your entire meal, then complain that you didn't enjoy it and expect not to be charged for the meal?
Of course the host was remiss for not warning you about the construction, or perhaps they live far away and weren't even aware of it, but if you chose to stay in spite of it, then the construction noise, and the fact that you weren't advised of it beforehand should be mentioned in the review. What you say in the review has no bearing on getting refunded, if you are indeed eligible for a refund, which in this case you are not.
And just because you mention a negative about your experience doesn't mean it's a "bad" review. Reviews are meant to be honest, not good or bad. You can speak to what was good about a place and also mention what was not so great. "Location was great, accommodation was clean and as advertised, and our group had an excellent time overall. Unfortunately the experience was marred by constant construction, both in front of the building and in it, which began early every morning, of which we were not warned."