This is really an intellectual exercise or question to determine "what you get" with Tidal FLAC vs. one's personal FLAC library from CD rips, so just a curiosity for me personally, not a big deal or anything that would push me away from Tidal FLAC streaming (for which I subscribe).
I think the initial question is simple, but if the answer is "no" (Tidal FLAC stream is not identical to a FLAC CD rip of the same track), the reason for "no" may not be simple or easily known, as you indicated.
I think it would be interesting to take a new release CD FLAC rip and the same FLAC track on Tidal and capture/compare the CCA digital bitstream for both, perhaps with the same methodology used in the link your provided.
If they are not identical, then the question becomes "Why?".
A couple thoughts on why they might not be identical, if that was shown to be the case.
1) Different source file on CD vs. Tidal.
- Probably no way of knowing what Tidal "gets" from the record labels for their FLAC stream. Maybe a 16/44.1 WAV or FLAC file that would be identical to the CD's WAV or FLAC file...or maybe not. For a new release (not a remaster), I can't think of a good reason why a record label would provide a different 16/44.1 WAV or FLAC vs. what's on the CD, but who knows.
2) Tidal receives a file identical to the CD, but intentionally transcodes/modifies the file for streaming.
3) Tidal receives a file identical to the CD, but unintentionally transcodes/modifies the file for streaming.
Again, this is just a curiosity for me personally, and something to discuss and possibly understand better, but not a biggie because ultimately, the Tidal FLAC stream is what it is.