That tells you the max in a test condition, and if you are using the same source, running the test signal at full amplitude, and never adjust the gain volume knob) higher to compensate for what appears to be a quieter song, then it has merit. The op said they tested at the "volume they normally listen to". If that means volume knob position and they used the same signal source as for music and ran the test signal at 100% volume, then the test has merit. If there are difference in the signal chain gain and/or the volume was "ear-balled", then the test my not have reached the actual peak levels that would be in music.
except that REW defaults to -12 dBFS and you usually need more than 10 times the power for something between -3dBFS and 0 dBFS.