There seems to be quite a few inaccuracies in the quote you found.
Firstly I assuming they are talking about the 2GR-FKS rather than the 2GR-FXS as they refer to the GS350. This engine was introduced to the GS in the 2016 facelift. It adopts Toyota VVT-iW technology - the W standard for Wide and allows the intake timing to be further altered from standard VVT-i which does allow the engine to move into an Atkinson mode when under partial load and operates in Otto mode for the rest of the time.
This is performed by solenoid and oil pressure as normal. The engine does not use VVT-iE which uses an electric motor to control intake timing - this is used on the LS and the F engine in the GS F, RC F and LC500. This allows wide operation, as VVT-iW, but with advantage that intake timing can be changed when the engine is at idle, when oil pressure isn't strong enough to use the hydraulic method.
This engine was not adopted in the GS450h, it kept the 2GR-FXE even with the facelift.
The 2GR-FXS is the hybrid adapted version of the 2GR-FKS - it is used in the series IV RX450h, not in the GS450h.