Question to the color scientists
After more reading and information its quite simple.
our eyes picks up the energy from the primary colors.
if a television has higher BLUE energy than RED and GREEN that picture will have a blueish cold look to it even if its calibrated to D65

the SPD from television nr1 has higher energy for GREEN and RED and so whites on this television will look more warm and less blue.

how distinct and separate the cones are can also matter here.
television nr1 has no clear separation between GREEN and RED while television nr1 has.