Not exactly.
Both zigbee and zwave nodes can generally use a choice of paths for each message (this is why mesh is called " resilient.") Unlike WiFi, a device is not permanently assigned to a specific repeater.
But a node can choose only from those repeaters that are already in its own neighbor table, and this table does not update automatically.
Therefore:
if you add a new zwave device to your network, after all devices are in their final locations, run a zwave re-pair utility to cause each device to update its own neighbor table. That way each one will know the repeaters that are closest to it. (Just powering off the device won’t do it for zwave, and is not required. Just run the network repair utility, which is intended for exactly this purpose. Note that this is different from individually re-pairing each device. You shouldn’t have to touch the individual end devices, you just run one utility. )
If you add a new zigbee device to your network, after all devices are in their final locations take the hub off of power (including removing the batteries) for at least 15 minutes. Then when you bring the hub back on power, the individual devices will automatically rebuild their own neighbor tables. Again this way each one will know the repeaters that are closest to it.