I certainly would agree that one needs a license to appraise a coop.
And while that state board can use the convenient fiction that it is real estate to support that requirement, the fact is that a coop is not real property. Despite that legal fiction, in most jurisdictions that record real estate transactions, coop transfers are not recorded. And just like a condominium, a coop is a form of ownership, not simply an apartment owned through a proprietary lease. While fairly rare in my experience, there are commercial coops as well as residential ones.
I'm not sure what dictionary you might be referring to. While there is plenty of confusion amongst appraisers about what a condominium is (as regularly evidenced here on the Forum), my Dictionary of Real Estate Appraisal, first edition, 1984, clearly states that a condominium is a from of fee ownership.