I have a CC3235 board with a IS25LQ032B which seems to be not supported by flashrom (v1.5.1).
I have a CH341A programmer and get more or less consistently this id: Probing for ISSI IS25LQ016, 2048 kB: compare_id: id1 0x9d, id2 0x4016
0x9d: Manufacturer ISSI
0x4016 Product Identification for the IS25LQ032B
So it looks like my SPI responses are always a bit different. Many times I get the right ID but often some gibberish. While flashrom doesn‘t support it out of the box it should work with SFDP but as my response is not deterministic I assume somethings wrong with my setup