Good vocal training aims at developing the natural voice. It isn’t just based on an idea of what a voice should sound like, but looks at vocal function. Its purpose is to release the instrument from unnecessary tensions so that your natural sound can come out.
They told you you need to learn the correct breathing for singing. Maybe you’ve already spent some time doing breathing exercises on your own or with a teacher. They told you to “sing from the diaphragm”, “push the belly out”, and then “pull the belly in”. They might even have told you the opposite of that.