Yep. And to a somewhat lesser extent, so does international commerce and logistics. Nearly all major importers of goods (think Wal-Mart for example) and their various suppliers and service providers rely on EDI to exchange commercial documents (purchase orders, commercial invoices, packing lists), file customs entries, track their incoming shipments and inventory, etc etc.

EDI is probably irrelevant and dead in Silicon Valley (unless maybe you work at Oracle). But in healthcare and commerce it's very much alive.