So, using a SPF 30 zinc sun blocker blocks equal amounts of UV radiation as a SPF 30 sunscreen. In fact, zinc oxide even is one of the multiple possible active ingredients in a sunscreen, and yes, you are right, it is a physical blocker and therefore better than most sun screens as it protects from UVA and UVB also.
This is where your linked blog and my research conflicts: The using-up of sunscreen has not much to do with sun breaking down zinc oxide, but with the skin braking it down.
I know that a doctor on HuffPost isn't the most reliable claim, but FDA agrees here:
Reapply [sunscreen] at least every two hours, and more often if you’re swimming or sweating.
People should also be aware that no sunscreens are "waterproof.” All sunscreens eventually wash off. Sunscreens labeled "water resistant" are required to be tested according to the required SPF test procedure. The labels are required to state whether the sunscreen remains effective for 40 minutes or 80 minutes when swimming or sweating, and all sunscreens must provide directions on when to reapply.
FDA. Sunscreen: How to Help Protect Your Skin from the Sun.
However, this is the case with chemical sunblockers. Physical sunblockers do not get absorbed as easily by the skin (The swimming and sweating still holds, though):
There are differences between the two main types of sunscreens: physical and chemical. A chemical sunscreen is absorbed by the skin. Sunlight is deactivated or degraded after contact with the organic chemicals contained in the sunscreen. Chemical sunscreens typically contain a range of ingredients like benzones, aminobenzoic acid and cinnamates that, together, protect against UVA and UVB.
A physical block, in contrast, sits on the skin’s surface and contains inorganic compounds like titanium dioxide or zinc oxide that are not absorbed into the skin. In this case, light is either absorbed into sunblock material or reflected away from the skin, similar to a mirror or aluminum foil. Ingredients in physical sunblocks protect against both UVA and UVB and, because they are not absorbed into the skin, they are nonirritating and nonallergenic.
Dr. Doris J. Day, What to Look for in a Sunscreen. New York Times. 2009
Nevertheless, both the FDA and multiple interviews with doctors I have seen encourage patients to use physical sun blockers and re-apply sunscreen every 2 hours.
Remember that sunscreen needs to be reapplied every two hours, or more frequently after swimming, heavy perspiration, or toweling off. Also remember, no matter how much sunscreen you apply, the SPF should be 15 or higher for adequate protection – and ideally 30 or higher for extended time spent outdoors.
Elizabeth Kale, Ask The Epxert. Skin Cancer Foundation. 2010
In addition to sunscreens, sun smart behavior including avoiding the midday sun, staying in the shade when you can, and wearing a hat and sun protective clothing. Use an SPF of 15 or higher, and reapplying it every two hours or more often if you are swimming or sweating, is critical.
Dr. Doris J. Day, What to Look for in a Sunscreen. New York Times. 2009