I believe the problem is the PDF Viewer which is used on iOS/Android.
An Upgrade to LDC ES3 won't fix that problem but is still recommended.
It's just a matter of time until the mobile Reader has a better support of forms.
Thanks for your feedback. I appreciate it. Since my post, I noticed that Adobe offers free apps for iOS and android devices "to view and work with PDF files." Called: Adobe Reader X for mobile. Any idea whether these apps would resolve the issue described above? (Filled-in data on forms created on desktops not displaying on mobile devices?) Unfortunately, I don't have an android device to test with and my iPhone hardware is not current enough to load the ios app. -Thank you.
I'm not an Adobe emplyoee, so I cannot say when a application get's new feature in the near future.
You may check the related forum http://forums.adobe.com/community/adobe_reader_forums/ios to ask the question there.