Yes! Well, sometimes. Some of them.

And vice versa. They're overlapping sets, but there are also whole grain breads that aren't particularly low-carb. prilicla and I have been eating whole grain bread for years (in my case, likewise after a childhood in which I would accept nothing but white bread and deeply resented visiting my aunt and uncle who only bought wheat bread), but we've become much more aware of carb content since she started needing to control her blood sugar.