The "need for zinc" is almost hear say especially pushed by companies like joe gibbs to sell overpriced oil.
Yes there is less zinc in modern oils but that is because they have more than made up for it with other additive packages. My work is a Cummins, Cat, Freightliner etc service dealership. I have spoken with engineers from Chevron, Shell and Valvoline. They all said the same about zinc " we made up for it elsewhere".
My engine is a perfect example, I run whatever regular non synthetic oil that I can get cheapest. Usually Delo at work. Flat tappet isky with .150 more lift than a stock cam and heavier dual valve springs. Definitely alot more pressure between the cam and lifter when the valve is open compared to stock. Probably closer to double the pressure. I cruise at 3000 to 3600 on the freeway and shift at 7000. In the desert running around in always above 3000 to be in the power band. Engine is 19 yrs old and has 80,000 miles on it.