In the Adobe technical white paper Adobe Acrobat 9 Digital Signatures, Changes and Improvements, especially its section "Allowed and disallowed changes", Adobe clarifies the allowed changes (as seen by Acrobat 9 and up) that can be made to a certified or signed document without invalidating the signatures applied to the document.
Allowed actions for certified documents
Certified with no changes allowed
Allowed
- No changes allowed
Disallowed
- Digitally signing
- Supplying form field values
- Adding or editing annotations
- Adding form fields
- Changing page content
Certified with form fill-in and digital signatures allowed
Allowed
- Supplying form field values
- Digitally signing
Disallowed
- Adding or editing annotations
- Adding form fields
- Changing page content
Certified with annotations, form fill-in, and digital signatures, allowed
Allowed
- Adding or editing annotations
- Supplying form field values
- Digitally signing
Disallowed
- Adding form fields
- Changing page content
Allowed actions for signed but uncertified documents
Allowed
- Adding signature fields (see Limitations on adding signature fields to signed but uncertified documents)
- Adding or editing annotations
- Supplying form field values
- Digitally signing
Disallowed
- Adding form fields other than signature fields
- Changing page content
(Even though not explicitly mentioned here, instantiating page templates most likely also is allowed whenever form fill-ins are allowed as that would conform to the PDF standard, cf. ISO 32000-1 section 12.8.2.2.2.)