It's using the Late Cretaceous map provided on the site. It doesn't state what point in the Late Cretaceous, so the Early Cretaceous map is probably more applicable to Spinosaurus (Tropical North Africa, rather than Arid).Wait, who came with the spinosaurus in the desert? Citing wiki: "It lived in a humid environment of tidal flats and mangrove forests alongside many other dinosaurs, as well as fish, crocodylomorphs, lizards, turtles, pterosaurs, and plesiosaurs."
Edit: According to the legend (first link) it should be "warm temperate", but still - constant temperatures above 20°C to 25°C is not "modern" temperate
Lithologic Indicators of Climate
www.scotese.com