It does to me. Kennedy means mishapen head. Claudia means blind or lame (I can't remember which). Bethanny means house of figs. So if it had a really negative meaning, no.
I'm not really religious so the meaning of a lot of biblical names wouldn't sway me one way or the other. My brother's name David means beloved and I think that's nice.
I also consider literary use. I like the names Cassandra, Ophelia and Peresephone, but I wouldn't pick them because of the tragic connections of those characters.
On the Mary/Miriam thing. I think bitterness or sea of bitterness is an incorrect translation of salt water.
My daughter's middle name is Marin. The books say it means Mary or of the sea. Like marina or marine.