I was asking because I was going to calibrate my three monitors and thought each needed an LUT on the card. I used a Datacolor Spyder5 Express and it turns out it never requested LUTs and calibrated all three monitors with no fuss... So my conclusion is that either the RX480 supports multiple LUTs or the Datacolor Spyder software works around that somehow. So - issue resolved.
1 LUT is supported on Radeon GPUs.