Me too

0 Hi,02br
00I know that answering 01i01b00"Me too"02b02i00 when someone says 01i01b00"I love you"02b02i00 or 01i01b00"Nice to meet you"02b02i00 is not idiomatic, because it would sound like "I love myself too" or "Nice to meet myself too".02br
00So I was wondering about these kinds of sentences:02br
02br
01i00I washed my car today.02br
00I got my hair cut.02br
00I got myself a new pair of pants.02br
00I hate myself.02br
00I'll give you a gift.02br
00I really love my children.02i02br
02br
00Is answering 01i01b00Me too02b02i00 idiomatic for those? If so, it would be strange... just like you would take it to mean "I love myself too", you would get "I washed your car too", "I love your children too", "I'll give myself a gift too", "I got your hair cut too"...02br
02br
00I'm so confused! Thanks 050010id1