Push one's way

Hi,

Recently I have seen lots of sentences using a verb + one's way.

He filed his way through the iron bar (using a file).
He cut his way through the gate (using a file).
He made his way down the dimly lit corridor.
He forced his way through the bushes.
He leaped to his feet and fought his way forward.
He entered the denser part of the forest and began to wind his way through the trees.
Afraid to look down, he worked his way back down the wall.
He pushed his way past so and so.

Can I generalize a rule like this?
If you want to move forward when you encouter an obstacle, you can use a verb + one's way through/down/up something, and the verb depends on your means of effort. You may use strength, or a weapon.

I know my generalization is not good enough. Can you comment on it?

Thanks very much.