Even crappier then, presumably the 'tweeters' are just crude piezo discs?.
If you post the model number it would help, a 'similar' Sony model is the KV28LS35, service manual here:
Electronics forum for electronics experts to repair defective appliance.
elektrotanya.com
That model uses a TDA7497, which has three amplifiers in it, left, right and sub. The TDA7482 you have is just a single channel non-bridged amplifier - so it must have two for left and right, plus a third (or something better) for the sub.
You should be able to download the service manual for your set from the same site.
All that makes the sound quality 'reasonable' in the set is the sub-woofer, the other speakers are crap, as you can tell by their size and shape - the following years 'improved' model (the KV28LS36) was exactly the same as the 35, except they left the sub-woofer out (known as 'cost improved' in the trade), and as you would expect the sound quality was pretty useless.