Best Budget Lens for 360 Photography & Virtual Tours

Hello, I’m planning to start taking 360 photos and virtual tours. Since I don’t want to compromise on quality, I’m planning to use my full frame DSLR for this. I’m planning to invest in a Nodal Ninja 6 pano head and a fish eye lens. After doing some research I’ve settled for a Samyang fish eye lens considering the price and quality. I’m just confused between the Samyang 8mm Hood Removable (APS-C) lens and the 12mm Samyang Full Frame lens. I read using the 8mm would give a circular image on a full frame sensor which is ideal for 360 photo stitching.

Can someone confirm this?