Does/should a man ever apologise to a woman/girl even if it is his fault?

It's nice reading what these women say, but the sad truth is that the more you are in a relationship in the western countries (UK, USA) the more the man is expected to apologize whether it is his fault or not. If it is one percent (1 %) the males' fault, generally an apology is expected. Furthermore, it is easier to just go ahead and do that, as often you will be bitched and complained to about no apologizing for the longest period of time imaginable. Women do not forget easily, and they do not compartmentalize. A tiny complaint of today, can be brought up years later as part of the larger picture. So apologize and keep records.