Is the difference between hard and easy problems really so important?

To illustrate the difference between hard and easy problems, let's take a specific example.

It was what he had expected to find, but that made the problem no easier.

Not an easy problem to solve in so little time.

Keeping your balance is not an easy problem as small children quickly learn.

It would make my present problem much easier to deal with.

And then get back to some nice easy problems, like running the country.

While he knew better, it didn't make solving the problem any easier.

Being on the clinic's board, it was an easy problem to recognize.

Therefore it is clearly not an easy problem to get to grips with.