Is JAWS having trouble with section tags and display none?

I am debugging a form that has a section hidden with display:none. There's an input within that section that is being announced. Is this a section issue? This simple test page will present two parts, each with display:none, but one will be a section and the other a div.

Following this paragraph is a section with display none. Inside is an input with an obvious title. Will you hear it in JAWS?

Following this paragraph is a similar chunk, but uses a div

Now, if you did hear the section's input from above, see if it still is announced when using visibility:hidden;

Following this paragraph is a section with visibility hidden. Inside is an input with an obvious title. Will you hear it in JAWS?

Following this paragraph is a similar chunk, but uses a div

Finally, let's use aria-hidden="true" on the original set.

Following this paragraph is a section with display none. Inside is an input with an obvious title. Will you hear it in JAWS?

Following this paragraph is a similar chunk, but uses a div

Hopefully you didn't hear anything at all :-)