A little bit differently when it comes to selecting a parent, but not differently in this regard.
Some devices may need to be paired close to the hub for any of several different reasons, that’s fine. This is called ‘bench pairing.”
However, you are correct that whether the device is zigbee or Z wave, if you then move it farther away, far enough so that it will have a different set of new neighbors as repeaters, you should then rebuild the network so that the device that was moved knows who its correct neighbors are. this is true for both zwave and zigbee.
For Zigbee, after you move the device to its new location, take the hub off power and leave it off power for about 20 minutes. Leave all the other zigbee devices on power. This will cause the other devices to go into “panic mode“ because they cannot find the hub. Then when the hub comes back on power, the other devices will rebuild their neighbor tables. This process can take a few hours so you may not see the results until the next day.
For Z wave, you need to run a Z wave repair utility in order to get the neighbor tables rebuilt.
FAQ: Zwave Repair from the ST app (June 2022)
Doing this should not affect the edge driver that the device is using. At least I hope it doesn’t, if it does, please let us know as that would be important information.
So it’s fine to do an initial pairing close to the hub. But you should rebuild the mesh if you then physically relocate the devices.