Not exactly "synonymous," not exactly coterminous either, but "inherent in." That is to say, every designed object has regularity and order. Where we find regularity and order, therefore, it is not necessarily unreasonable, or unscientific, to infer design.
Most of Western science has begun with the assumption that God created the heavens and the earth and still sustains them. It is a sound working assumption. It is no surprise that science is chock-full of evidences to show an intelligent designer was, and is, involved with the creation. The information contained in a single strand of DNA is just one small case in point.
"That is to say, every designed object has regularity and order."
So every time you see regularity and order, you see design. How wonderfully tautological.
"Most of Western science has begun with the assumption that God created the heavens and the earth and still sustains them. "
NO scientific theory incorporates the supernatural. Not one.