The Chateau Pro Ax has been FCC tested, sometimes (not always) information can be derived from test results:
https://fcc.report/FCC-ID/TV7H53U52HAX
Loosely, the device should have omnidirectional antennas (so 360° in the horizontal plane) emissions should have the shape of a doughnut (toroid), the higher the gain of the antenna the skinnier is the toroid, the lower the gain the chunkier it is, see:
Since the antennas are relatively low gain the doughnut should be rather thick, so the 50 degrees you mention seen possible