ping:

pci id assignment specification assigns the class 04:03 as HDA
https://pcisig.com/sites/default/files/files/PCI_Code-ID_r_1_11__v24_Jan_2019.pdf
checking the class id would allow the driver to attach any generic HDA device
i prepared a patch to do this, i kept the pci lookup table in case there is
some device with a broken pci class