The "rivers never split" rule is BS: https://en.wikipedia.org/wiki/River_bifurcation
Anything that deviates from these rules is usually wrong. Rivers don't split around two sides of a mountain, for example.
The author is saying two streams travelling up never split, only merge. I'm saying they do split [0]. An upstream split is a downstream merge.
The Orinoco River and Rio Negro are connected via a distributary, although this is the upper reaches of both rivers.
Deltas are commonly very large and involve several streams. The mouth of the Amazon River is more or less 100 miles distant. And the Brahamaputra and Ganges river delta involves 100s of channels that more or less crisscoss the entirety of Bangladesh.