It never claimed that pairing the board helps with straights, only that some straights were potentially completed.
Ironically, the example you gave in your point was based on a fundamental misinterpretation error, which itself was about basing things on fundamental errors.
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It says that "Turn card pairs the board" (correct!) which means that there already was a ten(T), and now there is a 2nd ten(T) on the board aka in the community cards.
Obviously, a card that pairs the board does not introduce a new value to the community cards and therefore can not complete or even help with any straight.
Ironically, the example you gave in your point was based on a fundamental misinterpretation error, which itself was about basing things on fundamental errors.