Non religious theists?

[Darwinian]

Religion: a set of beliefs concerning the cause, nature, and purpose of the universe, esp. when considered as the creation of a superhuman agency or agencies, usually involving devotional and ritual observances, and often containing a moral code governing the conduct of human affairs.

It seems clear that anyone who believes in a god and believes that that god created everything falls into the above category.

Perhaps you are right, perhaps they just don't like the label.