How do I retain a PDF form widget's design when setting its value using Javacript in Acrobat?

Question

I've been experimenting with interactive PDF forms in InDesign and JS in Acrobat. I think I've encountered something that might be a bug: widget design is overriden when using Javascript to set the field's value in Acrobat. Here's what a checkbox, for example, should look like when checked:
However performing:
var f = this.getField("Checkbox");
f.value = "Yes";
in the JS Console results in the widget's appearance defaulting to acrobat's:
I've tried every single widget property documented in Acrobat's Javascript API Reference to no avail. Initially, checking/unchecking using the mouse works fine. Once the value has been set using JS, Acrobat's default black check character is used for all subsequent toggling, including when using the mouse...
How does InDesign export interactive PDFs with custom icons for widgets? Is there any way to enforce the use of those icons using JS in Acrobat Pro? What's the difference between selecting a checkbox or a radio button using the mouse and setting its value using JS?

Answer 1

I thought it might be the case, too, but all widgets have the same properties both before and after setting the value with JS. I did this check using all documented properties in Acrobat JS Reference in an attempt to figure out what might be going on.
By the way, I don't think Indesign necessarily uses glyphs for the checked state of widgets, although in this case a glyph is used (albeit with different stroke and fill colours for the glyph, acrobat doesn't allow setting these properties AFAIK). With Indesign CS6 it seems you can practically use any Indesign tool to design the widget's On and Off states. So I'm thinking that maybe Indesign exports these with button-like properties where there are no restrictions on appearance (I think there is an "icon" property/object for buttons or something like that). However Acrobat treats them as checkboxes, so if that is the case it is more of a hack. Is there a way to probe an object's various properties other than using JS or the properties pop-up dialog?