In the DSLR era, camera autofocus systems typically had their autofocus points clustered near the center of the field of view. As a result, if you wanted to compose a shot with the subject placed off-center, there was a good chance no autofocus points would cover the subject. Back button focus (BBF) moved autofocus activation away from the shutter release to a button on the back panel of the camera. A photographer could set focus on the subject, recompose to position the subject off-center and press the shutter release to make a photo without the camera refocusing on something near the center of the frame. This technique became known as focus and recompose.
Mirrorless cameras typically have many more autofocus points and they normally cover nearly the entire field of view. Focus and recompose is only rarely - if ever - needed when doing photography with a mirrorless camera. However, BBF does offer advantages to mirrorless (and DSLR) shooters that go beyond facilitating the option of focusing and recomposing.
The core principle of BBF is the act of moving focus activation away from the shutter release button. Dissociating focus activation from the shutter release allows for two or more autofocus modes to be readily available to the photographer. I'm a wildlife and bird photographer and my primary body is the Nikon D500. I've configured the camera to activate my primary autofocus mode with a press of the AF-ON button. I also have a direct press of the camera's thumb stick and a press of the preview (Pv) button configured to activate second and third autofocus options.
To illustrate, when photographing a bird in flight, I'll use my right thumb to press the AF-ON button to activate continuous autofocus (D25 - a central cluster of 25 AF points) to acquire and track focus on a bird against a clear blue sky. If the bird dives and starts flying low enough to be positioned against a background of dense vegetation, I'll press the Pv button with my right middle finger to activate Group autofocus. Group gives priority to the nearest moving object and does a better job of ignoring the background than D25. If the bird lands and settles into being perched for awhile, I'll directly press the thumb stick to activate single-point autofocus. I'll positions that one AF point to cover the bird's head. All the while, my right index finger is free to hover above or press the shutter release button to trigger a burst.
Pressing AF ON to activate continuous autofocus, D25
A direct press of the thumb stick to activate single-point autofcus
Pressing the Pv button to activate Group autofocus
While not strictly a BBF technique (the Pv button is on the front panel of the camera) this strategy deploys the central principle of BBF...moving autofocus activation off the shutter release button. Another advantage of BBF emerges when acquiring focus on a fixed element of a landscape or cityscape composition. Once I have locked down a composition on the tripod and acquired autofocus where in the composition I want, the only thing I want the shutter release button to do is to initiate a shutter actuation. As good as my camera's autofocus system is, is not perfect. If the camera reacquired focus every time I pressed the shutter release, it would make at least a few photos in which focus was missed. By using BBF, I can acquire sharp focus wherever I want in the frame and keep it locked in as I make exposures in the evolving light.
As autofocus technology continues to advance and become more customizable, I envision more photographers will discover the benefits of having multiple customized and customizable autofocus modes within easy reach. There may even come a day when AI technology is so reliable at analyzing the composition, recognizing what is being photographed, and choosing the custom AF mode that will deliver the best results, that there may not even be a need for the photographer to activate focus.
Until then, techniques such as BBF will continue to offer advantages that may - or may not - be of value to you as a photographer. If you're interested, give it a try. Test drive it for a few outings. If you like the experience and the results, keep using it. If not, use the autofocus activation technique that works best for you.