According to the ZD User Guide, APs will prefer a ZD with an IP address that has been configured on the AP. If the ZD IP addresses are not hard coded on the AP, the AP will attempt to discover and associate with a ZD discovered via DNS/DHCP. So it depends if you have set the APs to a specific ZD IP address or not.
See page 33 of the ZD 9.12.1 User Guide.
In general, even without configuring DNS Option 43, you can move them to another subnet and they'll find the ZD just fine.