Sorry, but with all due respect, that's incorrect.
The first number that is the prefix for the "W" is the grade assigned to the oil based on it's flow properties at 0°C, or 32°F, and the second number represents the flow properties at 100°C or 210°F. Or, in other words, the freezing and boiling points of water.
A 15W oil, regardless of it's base stock, will flow in the range specified for it at 0°C, and not out of it. Doing so would mean it is not a 15W, but rather the oil would be assigned the grade number that is defined as that which flows as it actually did.
Synthetics generally have a higher viscosity index than dino base oils, which means they are more resistant to thinning when heated. That means that less additive, such as viscosity index improver or pour point depressant, can be used to make it perform and stay in spec. When additives are consumed, that's a way we get to the situation Castrol likes to describe as "breakdown."
Your assessment of how ZDDP works, however, is spot on as I understand it.