The original D1600S definitely used a Marvel chipset, but as per the QNAP website it got an update and any model produced after February 2022 includes a different HBA card which is called the QXP-1600eS-A1164. While not specifically mentioned, A1164 very likely refers to the ASM1164 controller made by ASMedia, which should be fully supported by unRAID.
I will likely order the D1600S at some point, so will update once I have it set up.