The anti-wear component of ZDDP is phosphorus and not zinc.
http://www.valvoline.com/faqs/motor-oil/racing-oil/73 (See What is zinc?)
The base oil is also an important factor in an oil's anti-wear protection. If you are so concerned about ZDDP (or phosphorus), maybe should be looking at other HDEOs.
Chevron Delo 400 0W-30 contains 1140 ppm of P
Esso XD-3 Extra 0W-30 contains 1110 ppm of P
The API service categories are PERFORMANCE specifications rather than FORMULATION specifications. It doesn't matter how the oil additive package is formulated if it meets or exceeds the performance criteria. The phosphorus limit is purely for emission reasons as you have suggested.