Because that is how an inertial reference frame is defined. If a reference frame has a changing inertia, then it has a force being applied to it, and that force makes it different from a frame experiencing a different (or no) force.
If a reference frame has no force acting on it, then it is the same as any other frame having no force acting on it, and it’s velocity (which is constant due to the lack of a (net) force) and location is irrelevant.
So if the train the person is walking on goes around a corner, or slows down or speeds up, then there is a force acting on the frame, and on the person walking – and the frame is no longer ‘inertial’.
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