Here is a Shortcuts Quick Action that allows you to select multiple Pages documents in the Finder, and then run the Shortcut. It will prompt you twice: 1) word to find, and 2) replacement word. It will then run Pages once, cycling through each of the selected documents and performing the text replacement. This would not be practical for large documents owing to AppleScript's penchant for timing out dealing with huge word counts. I have set a timeout of 1 hour (3600 seconds) in my example. Here is the Shortcut content for the Pages Word Replace.

If you plan to code AppleScript directly into the Shortcuts Run AppleScript window, do it in light appearance mode. Otherwise, get the AppleScript working correctly in Script Editor before pasting it into the Dark mode window above. Like Automator, this uses a waterfall approach where you first select the .pages documents in the Finder, and then run the Shortcut. It verifies that these are Pages documents, and then goes about processing them sequentially. The documents will flash briefly in Pages as the replacements are completed.
Steps:
- From /Applications, launch the Shortcuts app. It will autosave everything you enter so need need to save.
- In Shortcuts, File menu > New Shortcut, then click Categories and Documents
- Drag and drop the Get Selected Files in Finder action into the Shortcut window
- Drag and drop below the previous action, the Filter Files action, and set as shown.
- And lastly, select the Scripting category and scroll down and drag and drop Run AppleScript.
- Clear the content of the Run AppleScript action, and replace it with the code below. Then click the hammer icon.
- Click to the right of the orange Shortcut icon at the top and enter the name as you see it in the above screenshot to rename it.
Code:
use scripting additions
on run {input, parameters}
set srcWord to text returned of (display dialog "Enter search word:" default answer "") as text
set repWord to text returned of (display dialog "Enter replace word:" default answer "") as text
tell application "Pages"
activate
repeat with pages_doc in input
open pages_doc
tell front document's body text
with timeout of 3600 seconds
repeat with aword in (words where it is srcWord)
set word of aword to repWord
end repeat
end timeout
end tell
close front document saving yes
end repeat
end tell
tell application "Pages" to if it is running then quit
return input
end run
Your Pages Word Replace Shortcut will appear among the other Shortcuts. Here it is next to the Shortcut I created earlier that duplicates only the folder hierarchy between two designated folders.

On the left panel of the Shortcuts window, you will see an entry for Quick Actions. Drag and drop the Pages Word Replace Shortcut icon from All Shortcuts onto that Quick Actions category and you now have a new Shortcuts-based Quick Action.
Select a couple of Pages documents in the Finder, and right-click on them, choosing the Quick Actions sub-menu, and then Customize… That will take you to the System Preferences > Extensions panel where you select FInder, and then scroll down to enable Pages Word Replace. Now, it will show up in your Quick Actions menu in the Finder.