Hello John,
Based on the power sequence in the Datasheet, when turning ON, 3.3V is #1 and the core 1.2V #2 (apparently, the opposite while turning OFF).
This is why the collector voltage (1.8V in your case) should appear no later than 3.3V, when turning ON, and the opposite, when turning OFF. This is required to not overload the BCTRL output pin of Vybrid.
Actually, if the only reason of having a 1.8V switcher in your system is for the transistor collector, then you may use 1.5V (used for DDR) for this purpose instead.
The technique of selecting the right transistor type for each specific application (Vybrid core current and collector voltage) is also described on this forum. - This way you may save power consumption as well as get rid of the additional LDO used to generate 1.5V.
Regards, Naoum Gitnik.