In the first God Of War there is a boss that is a Minotaur protecting the entrance to the underworld if I remember correctly, which will surely remind him of his own experience (not to mention the different enemy minotaurs that you kill throughout the Greek saga).
There is also the fact that you dedicate yourself to killing gods, among which are Hades and Hermes, which, knowing how devout Asterion is, would certainly not make him happy and would even horrify him. Not only because of the excessive violence, but because of everything you do throughout the trilogy.