He's a crossing guard going off old information that used to be taught to elementary age.
"You should walk your bike through the cross-walk."
"Oh? Thank you." As I pedal away.
No, there's nothing to require walking a bike through a cross-walk in Chapter 316.

When the walk signal goes green pedestrians, and you on your trike, have the right-of-way. But never expect a right turning motorist to be competent.

Personally, I wouldn't be on a sidewalk with a bike, unless the road was closed or I had a mechanical malfunction. The most unsafe place to ride.