This is false because many fields do care very much. E.g. medicine (and not just mds), law, the patent bar, and many engineering fields care about accreditation. Even degrees from highly acclaimed universities aren't enough if the degree isn't accredted by the right body (eg ABET for the patent bar).
This is also not relevant because, in practice, places with good reputations are typically accredited.
I would agree with this. Many fields care a lot about accreditation.
I do think there are people that don't care, but I suspect they also don't care about the degree as well. They are more concerned about the real world performance of the individual. I think you'd be hard pressed to find someone in the above mentioned fields like that.
I also think that a Math degree falls into both of those "ideals", but more so on the side of accreditation is important.
For example Stanford CS is not ABET accredited, or nationally accredited at all. Do people get turned away for having a Stanford degree because ABET haven't rubber stamped it?
