"specialty" synthetic brands like Amsoil and Redline have good Zinc/Ph levels. Mobil 1 probably is Ok although I haven't seen a recent lab report.
More 'generic' labels like Pennzoil or Quaker state I don't know.
STP red was tested and came up with 4000 ppm. ZDDPlus has 57,000ppm. Do the math for your crankcase capacity and see if STP makes you comfortable. It raises it some but not a lot. (I think the red bottle is 15 ounces)
Chevron Delo and Rotella diesel oils are so far testing OK (about 1200-1300ppm) be they could be reformulated downward at any time with no notice.