well I notice the difference between flac and 320kb stuff as at home as well.
Just sharing the experience my wife and I both had. To be clear I notice details very well as does my wife, I notice pixels on screens for phones, games and movies (4k is not enough depending on distance and resolution for me even when many find 720p - 1080p to be minimal, textures in games, and of course changes in audio and my wife has a golden musical ear and can sing, play a song she hears a single time even in a foreign language (if not too hard to pronounce LOL) she and I came to the same conclusions and made sure not to hint to eachother what they were till listening was finished. (I am picky) and our headphones are great at deltails, I can try on my AD700's if I feel up to it it is possible lower resolution cans might fair differently.
Besides the relevancy here has nothing to do with flac vs AAC, it is one streaming service vs another .... both spotify and rhapsody should be the same 320hm at max quality settings and there was a difference in spotifies favor and tidal was better that spotify though by a smaller margin (still noticeable)...
Simple ears are different, brains, equipment ... make the comparison you want ... a buddy of mine last night tested Pandora vs Tidal and was blown away, for me it was Rhapsody vs Spotify then the winner of that went against Tidal as I stream ... if you are comparing your own mp3 etc files to Tidal that is fine if you are deciding between the two of those ...
Get a trial to each or just pay for a month to each service you are interested in, make a playlist of different types of songs you want to listen to and compare , if a great enough difference go with Tidal and if not Spotify (or service of choosing).
I am not here to debate who can and can not pick up differences and whether they are minute or not, just that I am reporting 2 people with very noticeable differences, and of course YMMV
EDIT:
To decribe the differences in general:
Tidal had more air and ease in treble in comparison spotify felt rolled off, cymbals, female vocals and sense of air around instruments and in space
Adjusting volume did not affect the relative differences.
Bass had more detail , my 8.A's can really tell the difference more dynamic lows more defined (fealt like more information)
Mids and in general felt like more resolution (voices)
Tidal was over all more comfortable to listen to and also felt clearer in comparison Spotify felt muddy or veiled.
Tidal also felt somehow louder I assumed that is why it felt more clear and dynamic, but in raising the volume on spotify it was the same sound as before just louder , no more dynamic or clear.
At this point I am sold on the SQ of Tidal but wish they had more selection and as I mentioned some songs did not have hifi and were bloated and undefined compared to spotify, so I may have to give Tidal some time to fill out its offerings

or not as I like quality LOL