If just using random bytes, you still need to make decisions about how to serialize, put it in a URL, logging etc so you’re basically just inventing you’re own format anyway for a problem that’s already solved.
A uuidv4 is 15.25 bytes of payload encoded in 36 bytes (using standard serialisation), in a format which is not conducive to gui text selection.
You can encode 16 whole bytes in 26 bytes of easily selectable content by using a random source and encoding in base32, or 22 by using base58.
You can use different encodings based on context, just like with a random blob of bytes.
One example where UUIDs are useful is usage as primary keys in databases. The constraints provide benefits, such as global uniqueness across distributed systems.