Except they do.Except that they don't. They only break those styles if you ignore the spells and try to run those styles as if the spells don't exist. If you embrace the spells, you can do all four styles easily. You just have to account for the magic when you do it.
The counter magic spells and items are usually in splatbooks.
The high level hazards and obstacles are usually in splatbooks.
Splatbooks 5e doesn't have.
That why many say "Opposed but Supported in the past"