Yep, the upcoming SP 800-227 draft says that officially, order doesn't
matter, at least in terms of the hybrids defined for TLS 1.3:
https://doi.org/10.6028/NIST.SP.800-227.ipd

I don't know if "anything" hybrid with ML-KEM is theoretically FIPS but it
does make things easier.

On Thu, Feb 27, 2025, 2:16 PM Salz, Rich <[email protected]>
wrote:

> I thought that I remember (sic) that NIST said that hybrid key exchange,
> where one was FIPS approved, was still FIPS approved, and further that the
> order did not matter. Do I remember correctly? And, if so, does that mean
> “anything” hybrid with MLKEM is FIPS-okay now?
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