Who said anything about "white white"?
With a single glance at that floor? I can tell you I would go straight to a Ben Moore venue, get a custom formula mixed of 2/3 "Linen White"/1/3 "Decorator White". ( both are stock colors )
How do I know? I have seen the floor in other homes. that has been a go to soft white I gifted to my kitchen gal. It is now one of her go to whites in instances where a clean and soft look is desired. It's just soft, with no peach, yellow, or dingy tone.
Cabinets are best when PRO painted, in a spray booth, conversion varnish and yes.....have done it that way in that "blend".
Q