Yeah, I've never been a fan of saying that I was "born in the wrong body" or that I'm a "woman trapped in a man's body."
I had no issues with my body until puberty. And that's the thing... had I known that I really could be female despite my body, and that I had the option to start hormones once I recognized that I was starting to hate the puberty I was going through, I wouldn't have the "wrong body." Society is the one who told me that it was "wrong." Had it not been for that assumption that being female was somehow contrary to my body, I'd have gotten on hormones and just been another woman after that. And I'd love my body, my voice, everything. It's just that I didn't realize what my gender identity was, and that this gender identity was valid, soon enough.
Basically, I personally find it easier to just see myself as a tomboyish gender-nonconforming girl who later grew out of that gender-nonconformity when puberty started, but unfortunately a hormonal imbalance caused it to masculinize against my will. I don't even like calling myself trans, honestly, because it's not like I ever self-identified as male and then arbitrarily decided to switch. I was assigned male at birth based on my genitals, and I went along with it because people kept telling me I was a boy. Granted, my overall behavior was more androgynous, so I probably would have been equally able to accept myself as female had I been assigned female at birth instead, with the exact same body. So much cultural gender BS is involved with the notion of being "a girl trapped in a boy's body." I'm not trapped in anything. My body is mine, and it's just that I'm more comfortable with female hormones and a vagina. That doesn't mean I was a mistake or something. It's just that society assumes that all people born with penises have to be boys and therefore have to be mentally programmed to go through a male puberty, and vise versa.
So yah... In my mind, I'm not a "woman trapped in a man's body," and wasn't "born in the wrong body," I'm just a girl who was born with a penis. That doesn't make anything about me "wrong."