Even so, I would be very surprised if FLAC did not outperform general purpose compressors if the test is done on a wider range of music than a single piano piece (which should be very compressable overall as audio goes).
edit: went and did a test on a couple of tracks, using brotli: bro --quality 11 --window 24 against flac -8 (best settings in both cases)
satie - gymnopedie no 1:
wav: 41.6mb
brotli: 28.1mb
flac: 14.7mb
ram jam - black betty:
wav: 41.8
brotli: 35.8
flac: 26.5
vangelis - tao of love:
wav: 29.4
brotli: 23.0
flac: 13.4
meat load - paradise by the dashboard light:
wav: 89.3
brotli: 78.3
flac: 58.5
certainly not a massive test, and there are likely general purpose compressors which does a better job than brotli, still I feel rather convinced that they will not do better than FLAC other than in extreme cases such as the piano piece you linked to.