Since dealers and even manufacturers often use the terms “SUV” and “crossover” interchangeably, your confusion is totally understandable. Ford classifies the Explorer as an SUV, but if you want to get technical, its unibody platform and standard front-wheel drive classify it as a crossover.
If you’re looking for the body-on-frame construction of a by-the-book SUV, you’ll need to head back to the 2010 Explorer, or look at one of Ford’s larger SUV options like the Expedition. But if you’re simply looking for the size and off-road capability of a standard SUV, you’ll be plenty happy with the Explorer.