Hi @Simona119,
sorry for you, that you had that experience. The way of granting access to the apartment seems very strange. Your review makes it clear and according to the last review on top, the host keeps doing that.
I would be worried too, if I'm supposed to wait for an unforseable time for another resident to use the door and then maybe facing the dilemma to have no keys or break open a letterbox in a foreign country. Whoever reads the two reviews, will be duly warned.
You did have an influence, the next person mentioned that the host now inquires about the wellbeing of their guests.
As for your question about lying, I would say to you as a guest, what I say to hosts:
The first review should be truthful and neutral if possible. The answer is not an answer to the first review, but a space for damage control. You did not discover the answer quickly, airbnb did not send you a notice, because it's no longer of interest to you. Yu cannot answer to it any way. There is only one answer, no back and forth haggling.
See it from the host's side: The apartment looks nice, but very cold. That means, the host is not the emotional type and probably has no imagination about other person's worries. Simply is not equipped mentally to imagine such things. Now that you told the host about it, he/she improved one aspect already. finding a solution for the key question seems a bit more difficult.
So, there is this nice listing, with a damaging review about a careless host. To defuse this bomb, he/she writes that you arrived very late. Not the best idea, especially if it's not true, but it does you no damage either and it seemed a good idea to the host to do, to keep the business alive. I would not see that as lying, like saying it in a personal confrontation, in a dispute about a refund etc. It's more like a not truthful advertisement. We all know that companies lie about their products to sell them, but it does not offend us like a lie to our face does.
If you want to tell the person, that you think it's not acceptable to do it, you still can write a message via the system.
If you think, the host should not keep hosting, you have to contact airbnb about it.
From my experience with guests I took in at the last minute, late in the evening, airbnb cancels a reservation if you do not get access, no penalties for you, but for the host it counts like the host cancelled and he has penalties. If help is needed, airbnb helps to find another place and adds a small sum as credit.
Good luck for your next travels (