That’s just noise. White noise is a specific kind of noise.
My weird way of using white noise is I have a set of scripts to precisely control my volume. I turn on a video of white noise on youtube, then I run my script to slowly, steadily raise the volume up to whatever level I want.
The entire point of the script is to avoid a clear moment when the noise starts or stops. To further hide the transition from consciousness, I have delay built in, and I recently added randomized delay between volume increments.
I run the script, and an hour later brown noise is blasting in my room, but I never have to be conscious of it.