EDIT: I have been searching for the source of where I saw this, but can't find it now :(
EDIT2: I found a talk touching in the topic with a study: https://youtu.be/I64RtGofPW8?si=v1FNU06rb5mMYRKj&t=889
The experiments I've seen seem to interrogate what the culture means by colour (versus shade, et cetera) more than what the person is seeing.
If you show me sky blue and Navy blue and ask me if they're the same colour, I'll say yes. If you ask someone in a different context if Russian violet and Midnight blue are the same colour, I could see them saying yes, too. That doesn't mean they literally can't see the difference. Just that their ontology maps the words blue and violet to sets of colours differently.
If on the other hand you work with colors a lot you develop a finer mapping. If your first instinct when asked for the name of that wall over there is to say it's sage instead of green, then you would never say that a strawberry and a fire engine have the same color. You might even question the validity of the question, since fire engines have all kinds of different colors (neon red being a trend lately)
Sure. That's the point. These studies are a study of language per se. Not how language influences perception to a meanigful degree. Sapir-Whorf is a cool hypothesis. But it isn't true for humans.
(Out of curiosity, what is "embedding" doing that "word" does not?)
Which is kind of Sapir-Whorf, just not the extreme version of "we literally can't see or reason about the difference", more "differences we don't care about get lost in processing". Which you can kind of conceptualize as the brain choosing a different encoding, or embedding space (even though obviously such a thing does not exist in the literal sense in our brains)
Edit: in a way, I would claim Sapir-Whorf is mistaking correlation for causation: it's not that the words we know are the reason for how we can think, it's that what differences we care about cause both the ways we think and the words we use
Unless the question is literally the equivalent of someone showing you a swatch of crimson and a swatch of scarlet and being asked if both are red, in which case, well yeah sure.