Check-call vs check-fold
Jones' advice is geared towards beginning Low Limit players. For most of these people, check-folding is the best play. When they are up against 6 opponents with only a middle pair, it is far more likely they will make a mistake than not. It is much safer for them to just fold. This is usually only a marginally +EV play anyway, so they aren't costing themselves much (if anything) by folding. More importantly, folding will prevent them from getting into a much worse (read: more expensive) situation later in the hand.
So, while the "correct" play might be to call, Jones' advice to fold is probably the best.
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