When I opened the PDF in Designer and looked at Form Properties, on the Defaults tab I saw Acrobat 7 (Static) PDF Form. I took it to mean that the file was Static. I guess that has nothing to do with the document that is currently open despite being in Form Properties.
I see that under the Compatibility tab, it lists Form Type: Acrobat 7 (Dynamic). I guess that is where I tell how the form is saved.
So if I create a static form and then save it as a dynamic form (just to perform the invisibility trick on one object), nothing is really going to change on the rest of my form?