hi phonenix
i am going through the same things with my son and he is 9 years old. He used to say things in anger and or when frustrated. he is very sensitive and reacts to everything. he would say " i hate my life", i wished i was never born" or you hate me and yes he did he wanted to kill himself.
i did get in touch with a parenting coach and she talked to him and suggested that when he is upset or angry, grab a pillow, or if his emotions are high, to take some deep breaths.
yes i agree with you that they probably say these things at us too when they get in trouble. i would chalk it up to puberty and growing up.
your not alone.
take care