For years, the standard I’ve used for updating all fields (with the exception of TOC, etc. which are handled separately) in a document is the one the Word MVPs use and recommend, which I’ll copy here. It comes from Greg Maxey’s site: http://gregmaxey.mvps.org/word_tip_pages/word_fields.html. One thing it does that I don’t see in your version is update any fields in Shapes (text boxes) in the header/footer.
Public Sub UpdateAllFields()
Dim rngStory As Word.Range
Dim lngJunk As Long
Dim oShp As Shape
lngJunk = ActiveDocument.Sections(1).Headers(1).Range.StoryType
For Each rngStory In ActiveDocument.StoryRanges
'Iterate through all linked stories
Do
On Error Resume Next
rngStory.Fields.Update
Select Case rngStory.StoryType
Case 6, 7, 8, 9, 10, 11
If rngStory.ShapeRange.Count > 0 Then
For Each oShp In rngStory.ShapeRange
If oShp.TextFrame.HasText Then
oShp.TextFrame.TextRange.Fields.Update
End If
Next
End If
Case Else
'Do Nothing
End Select
On Error GoTo 0
'Get next linked story (if any)
Set rngStory = rngStory.NextStoryRange
Loop Until rngStory Is Nothing
Next
End Sub