How can an audio system be accurate if it isn't loud like some live unamplified music is?
@invalid It wouldn't be! It must reflect that of the signal (since that is as close to the music as an audio system can get).
If the system sounds loud when it really isn't (for example, only 83dB), that should be a point of concern.
are there other important parameters based on which we can judge about the SQ without the audition?
@niodari Yes- I mentioned some prior, such as understanding the harmonic spectrum created by the amp. IMO that is more important than the THD.
The loudness can be subjective.
Exactly my point; it can be independent of the actual amplifier power due to the presence of distortion fooling our ears into the impression its louder than it really is (as seen on a sound pressure level meter).
All analog tape machines have distortion but I think you drew an incorrect conclusion from your cassette anecdote.
If you really want to hear what a 5.5 Watt SET does, you would need a speaker of at least 12dB more efficiency (in most rooms); the few dB difference you mentioned still means that the amp is being pushed too hard.
I know of a PP amp that has about the same power as your SET. I've seen it take on SETs of similar power with no problem. It, or something like it might be something to try.