I have no idea why motorists would want cyclists to come to a full stop at 4 ways unless the two (car and bike) arrive at the intersection at the same time. In that scenario both have to stop to ensure clarity about who's first, but if the cyclist is clearly there ahead of me, I'd prefer they keep their momentum up rather than delay my car's passage through the intersection by a few seconds while they regain momentum.
And I would say there's a good case for changing the laws for cyclists to that effect.
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