That is where the eye wall collapses on itself and then starts a new rotating outer wall..

Complete eerie calm. Then when the winds begin again, they come from the opposite direction.

"As the eye passes over" is stupid. However, the worst of the winds are around the eye. The eye itself is calm.

There's a couple good videos posted here where you can see a hurricane hunter aircraft enter the eye. Blue skies and sunshine. No wind. Hurricanes are fascinating.

Sometimes the eye wall collapses and there is no calm spot. Over water than normally regenerates pretty quickly. I have been right in the eye of a hurricane. Pretty neat. It went from around 90 mph sustained winds to me playing in the side yard with my skim board in minutes. Then twenty+ minutes later it was back inside to avoid the furry.

It wasn't all sunny and calm in the eye. Overcast with wind under 20 mph.

So it's not like blue skies always magically appear in the eye. It's just a calm relatively speaking.

I do remember when the clouds from the other side of the wall came rolling in. Things went downhill in about a minute's worth of time.