Why LC filter outside feedback loop in Class D amps

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Joined 2015
Hi,

The output filter of most of the Class D chips TDA7498 etc is outside the feedback loop. These amps do have more distortion around 5khz.
1) Is it due to this filter being outside the feedback loop?
2) If another loop is implemented by nesting the amp+filter into feedback loop of an op-amp, can the distortion be improved?
3) Is this distortion audible?

Thanks,
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