All-way walk phases are not as popular any more with traffic engineers.
For some of the crosswalks in the main Davis intersection (namely the ones where the road is one way towards the intersection), the pedestrians get a Don't Walk even while no vehicles can legally be crossing the crosswalk. So even if the planners want to provide an all-way walk phase, those crosswalks should still have Walk lights during the other phases when no cars would be turning across.
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For some of the crosswalks in the main Davis intersection (namely the ones where the road is one way towards the intersection), the pedestrians get a Don't Walk even while no vehicles can legally be crossing the crosswalk. So even if the planners want to provide an all-way walk phase, those crosswalks should still have Walk lights during the other phases when no cars would be turning across.