There are infinite ways to express the ratio, but the ratio is showing something clear in your water - the tanks with a higher P value after the heat test show that the tank has physical phosphate stores present in the water (or most likely in the sandbed) that can fuel cyano very easily. This may not be present in tanks that are well skimmed and filtered, and where the nutrient ratios of N

are adequate for coral growth this may not allow cyano to take over, but having excess nutrient stores like this do increase the risk.
This could look like a tank that will release huge clouds of brown sludge when the sandbed or areas under the rock are disturbed.
this excerpt from
@Hans-Werner here:
You may determine the ratios meaningless however similar can be see with the ratios of N addition - in a tank that has propensity to grow cyano, adding amino acids during the photoperiod particularly will cause an increase in cyanobacteria.
Whilst to someone with a test kit the ratios may lack value, in a biological sense it is the ratios that determine the safe zone for corals to grow, and what kinds of algae will proliferate. It's unlikely the average reefer will find this because it would require a large number of variations of water chemistry including some that cause excess algae and is not at all what we strive for as a 'display tank', however in a tank with the ability to alter meaningfully the ratios (including being able to remove the sandbed or give it a 'rip clean') and dose various forms of N in ammonium, nitrate/urea and amino form, one can change the kinds of algae that will grow fairly confidently.
Ultimately it's ratios of everything in the water that provide a safe coral growing environment, many of us know this from ratios of alk:cal:magnesium for example and how imbalances can cause hyperplasia, but the same holds true for the lower concentration elements and particularly the N

ratio in a tank.