All true, in my experience.
I think a lot of us (intact Americans, mostly) grow up wondering if we’re going to get “found out” or rejected by girls and women because we’re different. I know it was a source of some anxiety for me.
Turns out, most women care not about cut/uncut. By the time she’s decided to let you into her body, the presence or absence of a foreskin simply isn’t on her radar.
And, occasionally, you’ll come across one who’s eager to learn. Because she likes you, she’ll take an interest in your foreskin. Women naturally want everyone to feel loved and included.