If we look at breeds or volume, wool breeds accounted for roughly a third. If you look at meat breeds that account for the majority of sheep, the majority has medium quality wool. For such breeds, shearing is a necessity. So that carries the weight that it is a free by-product, in general.
>Those that produce the best wool are not used for their meat
You can eat delicious merinos. If anything, you could see their meat as a free by-product. Same caveat applies, meat processing is not cheap.
I think the erroneous view is just how things work unless you look at luxury/high grade market, which obey fundamentally different economics.