Two things here....

Thing one -- this is a friggin' crossing guard! Don't for one second think they've done more to learn traffic laws or rules of the road than read some silly pamphlet or talk to the retiree they're replacing. Go to the source; read the city and state codes as they pertain to traffic. It (the answer) will be there.

As far as intersection right-of-way, peds are supposed to have priority -- but we all know how that goes. Some ignorant coffin-roller will TAKE what they feel and decide is THEIR right, so take it as it comes. Someone jumps the crosswalk, don't be there. A second or a bit less sometimes can be the difference in communication, IF the driver is aware and at all concerned about you.

BTW -- safety in numbers is rule 1 for street survival -- unless you're in a peloton in Texas in front of a drunken immigrant....