The Interfaces of the LAN, of the DMZ, of the Wifi-A and the Wifi B are physically connected via LAN-Cables RJ45 on the SAME SWITCH, without any VLAN configuration
Yes, that will be the problem. Both DHCP-Server will respond with a DHCPOFFER to your client that sends a DHCPDISCOVER. Your client just chooses the first DHCPOFFER that arrives (which is more or less random).
I don't understand why you are connecting these two subnets.