What is wrong with this?
“I am sorry I got angry, it is just that time of the month!”
And
“I am sorry I got angry, it was my male hormones!”

They are both unacceptable to me as an apology for aggression.
I dare say they would not be acceptable to a judge either.

Why?
Because both people are failing to be accountable for their actions.
What would be acceptable to me is if both took responsibility for their actions.
i.e.
“I am sorry I got angry. I chose aggression to deal with my frustrations rather than a more constructive action. I would like to get an agreement on helping me act more constructively next time I get frustrated and possibly help me find a way for me to avoid getting frustrated in the first place.”

To me, the second apology is like chalk and cheese between the first. I believe that most people are tending to throw out the baby with the bathwater with regards using apology to resolve disputes.

I think that the giving and accepting of poor and unacceptable apologies could be even more destructive than no apology at all.