The NZXT RGB and fan controller supports NZXT RGB devices of the first generation and newer, but does not support the connection of devices of different generations within the same channel. The F360 Core and F120 Core RGB are likely compatible as long as they are the same generation as the controller. However, the controller uses a proprietary 4-pin NZXT RGB connector and does not support connections with third-party RGB devices.

To ensure that the F360 Core and F120 Core RGB can be controlled without any problems, you should check whether they are the same generation as the controller and whether they use the same RGB connector.