It was reminiscent of a moment on the 2016 campaign trail, when Sen. Marco Rubio, then a presidential candidate, repeated the line, “Let's dispel once and for all with this fiction that Barack Obama doesn't know what he's doing.”
Of course, Pence appeared on five different networks (notably skipping CNN, a recent target of the Trump administration's ire). That makes it unlikely that a whole lot of people saw all five interviews, unless they were specifically switching channels to watch Pence. Which would be sort of weird.
But that still doesn't explain why he talks about “broad shoulders” so much.