I think she means it to reflect the boring life she is bound to have in this tiny town, in her father's house, in this small provincial kind of simple life.
You mean Belle? :-)
But yes, you do raise good points.
Musically, I don't think it would be a problem to hear a song like "Much More" in a male voice (that last lyric notwithstanding). It's just the "coloratura" moments in Happy Ending and Round And Round that I think would sound very out of place. We would easily expect that kind of singing from a young female ingenue - but in purely musical theatre terms, not from a male singer. Except, as I said, when it's meant to be campy, such as in Chicago, or such as Chantal's vocal showoff bits in La Cage.