Your question isn't so simple because you can't depend on using a CD rip as a reference. Tidal might not be using the exactly the same track that was released on CD. Tidal's version might be MQA encoded, or the record label may be providing a remastered version to streaming services that is different from the CD release.This is a pretty simple question - is a Tidal FLAC 16/44.1 stream bit-for-bit identical to a local FLAC CD rip of the same track as played through the CCA?
A simple question for which there may not be an answer, and that's ok.
The question to ask is whether playing the same track on the native Tidal app is bit-for-bit identical to playing Tidal through the CCA. Here is a test where someone concluded that it is not bit-perfect: https://nikitin.io/posts/is-chromecast-bitperfect/. He didn't provide complete test details and I'm not ready to accept his conclusion, but I think he took the right approach.