Examples can include:
Steep off-road climbs
Rocky terrain
Loose or slippery surfaces
Heavy towing or hauling
Very slow maneuvering
Certain agricultural or industrial tasks
Recovering or moving heavy equipment
The exact recommended use depends on the vehicle.
That is why the owner’s manual remains the final authority.

Why You Usually Wouldn’t Drive Around in G
A crawler gear is not normally designed for ordinary road speeds.
Using an extremely low gear on a normal road can cause the engine to spin at unnecessarily high RPM while the vehicle moves very slowly.
It can also be mechanically inefficient and unpleasant to drive.
Imagine trying to cruise at highway speed while staying in first gear.
The engine would be working far harder than necessary.
A crawler gear can create an even more extreme version of that problem.
Its purpose is not everyday road travel.
Its purpose is to give the vehicle maximum control at minimal speed when ordinary gearing is not appropriate.