It's easier to understand Chantilly Lace when you compare it to other shades of white, like Ben Moore Simply White.
Chantilly Lace is cooler, without the yellow undertones of Simply White.
White Dove does has "white" in the name, but it is a bit darker than Chantilly Lace, & can easily read greige on the wall, while Chantilly Lace is closer to true white.
Chantilly is a white, but it doesn't have to look institutional or stark.
In fact, pitted against Decorator's White (another very popular BM white), Chantilly Lace looks warm & cozy.