OP, I'm feeling an undercurrent of not understanding a bit of jargon, so let me clarify IN CASE you have any confusion.
The first fans that included lights in their frames are called LED Fans. In them, there are LED's of ONE colour only mounted in the frame, and they are simply wired in parallel with the fan motor so that they light up whenever the fans gets power. On some of these the lights may dim at low fan speeds, but you really have no control of the lights at all. These fans have only ONE cable from them that plugs into a fan header on the mobo. Such fans have only one colour lighting, but you can get them in different models with Red, Green, Blue, White, etc. colours. The phrase "White LED Fan" usually refers to one of these with white lights in its frame.
More recently the market has seen LOADS of the new RGB Fans. All of them have LED's of three colours built into their frames, and have a second cable for the lights only that plugs into a different mobo header for lights. (Or, if your mobo does not have one, they can be connected to a third-party RGB Controller.) By varying the current flowing through the LEDs of each of the three colours, the Controller can create a wide variety of colours, brightness and patterns. There are two major different and INcompatible versions of these, plus a number of less-common designs.
The first of the new class was plain RGB systems, which use on the lighting cable a 4-pin connector with a 12 VDC supply of power to the lights. Along a string, all the Red LED's are connected together and controlled by one signal line; all the Greens together on another line, and all the Blues on a third line. A large range of colours and brightness can be created and changed this way, but at any one moment the entire lighting system is one colour.
The more advanced system that followed is called Addressible RGB or ADDR RGB or ARGB. Its cable wiring uses three pins and supplies 5 VDC power, Ground, and a digital signal line. Along the light strip the LED's of the same three colours are arranged in Nodes. Each Node has one LED of those three colours plus a small Control chip with its own unique address. It listens to the Control Line and does with its three LED's only what its data packets tell it. Thus different areas of the light strip can be different colours simultaneously. Photos of these devices often show that off by depicting a rainbow light display, or a sequence of colours chasing along the strip.
OP, in your posts above it is not clear whether you are looking for a white fan chassis with lights in it that can do changing multi-colour displays (or even be set to stay white always) as the new plain RGB or ADDR RGB systems can, OR if you want a white fan frame that also has ONLY white LED's in it that do NOT change over time.