Available phylogenetic evidence does not place Eoraptor anywhere near Tyrannosaurus rex. The strongest sources either recover Eoraptor as a very basal theropod or outside Theropoda entirely, while T. rex is a highly derived tyrannosaurid. The claim’s core point is therefore accurate: Eoraptor is not considered a close relative of T. rex.

This claim is true and well-established in paleontology. Stegosaurus lived ~150 million years ago, while T. rex lived ~68–66 million years ago — a gap of ~80–84 million years. T. rex went extinct ~66 million years ago, and modern humans appeared ~300,000 years ago — a gap of ~66 million years. Since 66 million years is less than 80–84 million years, T. rex indeed lived closer in time to us than to Stegosaurus. Multiple authoritative sources, including USGS and the Natural History Museum, confirm this.