It's an eagle. Blame the origin of the still-ongoing controversy on the Navy, but it's an eagle.
I wear the woven capbadge with metal eagle on all headdress that requires a badge. I do not like the all-woven mylar-gold one which, in comparison, looks chintzy.
If by "full-metal" you mean the enamelled metal one, that was the norm for everyone until the woven style was authorized for officers after which it was worn by NCMs and some officers too cheap to by the woven ones. After the woven rayon one came out, it disappeared.