Hirano-san,
I'm going to check with the designer about what may happen if the thermal pad is not connected to GND.
What do they have the thermal pad connected to? Is there enough copper to dissipate heat?
Regards,Matt Guibord
I spoke with the designer and he said that the thermal pad is electrically connected to GND. Not grounding the thermal pad could have an impact on THD in two ways, one is by not providing sufficient grounding to the part and and the second is causing the part to heat up.
We do not have any data to show what happens when the thermal pad is not grounded, so it may be worthwhile looking at their schematic and layout for other issues as well.