On a 10-year-old Hardie 15-stage, if zones 1, 2, 3 all come on whenever any one is selected—and rewiring at the controller doesn't change it—the problem is likely at the valves, not the wires or controller.
A short between zone wires would be symmetrical: Zone 1 wire touching Zone 6 wire would make Zone 6 turn on Zone 1 and Zone 1 turn on Zone 6. Your symptoms are one-directional.
This is a known failure mode on older Hardie/Rain Dial systems with original valves.
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