Per Wikipedia, "The Internet (portmanteau of interconnected network) is the global system of interconnected computer networks that uses the Internet protocol suite (TCP/IP) to link devices worldwide."
The network of UUCP-connected machines (also called UUCPNET) did not use TCP/IP and had no inbuilt notion of how to get packets from one place to another. One had to specifically list a set of instructions, a path, from source to destination hosts. UUCPNET was entirely store-and-forward, and sent entire messages, not packets. And it was in wide use throughout the 80's before the Internet became a thing (which happened once researchers started interconnecting networks that used TCP/IP).
To say that UUCPNET was the Internet just without the web, is like saying that radio _is_ TV, just without the pictures.