Mine are. My wedding band is not a perfect circle ... it's shaped to match my engagement ring so I had them soldered together rather than have them constantly spinning and not line up properly.
I have no regrets and I like that my engagement ring and wedding band "are one" just like my our marriage.

I do have another wedding band that I wear separate from my engagement/wedding set as they don't match. I sometimes wear my Asha with it and sometimes wear the band plain when I'm not wearing my set.