Here are a few examples when I find BBF easier than the alternatives:
Shooting a distant stationery subject through waving grass, other foliage or fence mesh - once focused, why risk mis-focusing on the grass if the wind blows as you take subsequent shots?
With BBF:
you focus once by pushing the button you have set up for AF-ON, then simply lift your pinkie off it (focus is now locked), frame up and shoot as often as necessary, you only need to re-focus if you, or the subject, moves.
Without BBF:
you could refocus each time you take another exposure (and curse when the wind blows),
or try to keep your thumb depressing the AF-L button (be ready to curse if/when your thumb slips off)
or you could try to carefully switch the lens or camera to MF (manual focus) without losing sight of the subject hidden behind the foliage
Similar benefits to the above apply if you are shooting in low light or have an extender fitted, when AF may well struggle, or just have a lens which is slow to focus and/or likes to exercise itself from end-to-end each time you AF.
Focus and recompose, especially when using a tripod - once focused, why risk accidentally re-focusing on what happens to be under the focus point on subsequent shots?
With BBF:
you focus once by pushing the button you have set up for AF-ON, then simply lift your pinkie off it (focus is now locked), compose and shoot as many as you like, you only need to re-focus if you, or the subject, moves.
Without BBF:
you could repeat the focus and recompose actions each time you take another exposure, but you risk slightly different views each time and you may have to release tripod pan/tilt (or ball) locks to do so,
or you could try to keep your thumb depressing the AF-L button (be ready to curse if/when your thumb slips off)
or you could carefully switch the lens or camera to MF (manual focus)
Removes the need to change focus modes between AF-C (aka AI Servo) and AF-S (aka AF Single or AF One shot) via menu or multiple button pushes.
You leave the focus mode set to AF-C/AI Servo permanently, which means;
When you want auto focus to track a moving subject; you keep your pinkie on the button configured for AF-ON.
When you want AF-S (aka AF Single or AF One shot); you press and release that button
When you want Manual focus; don't press it all, just focus the lens manually (assuming that is OK for your lens, which it is for most Nikon lenses when set "M/A")
The choice of Continuous or Single (one-shot) is always
instantly available.
BBF isn't
always the right method, but it suits far more situations than you might initially expect, especially once your fingers/thumb/brain have got used to it.
Persevere, I'd be surprised if you don't find it worthwhile, especially if you recall doing the things listed in the "Without BBF" sections, as many, but not all, genres of photography entail.
Happy shooting, Dave