I can't reproduce this. Do you have an example where and how you get this?
First example I found was in a game called Our Fate (now discontinued)
https://f95zone.to/threads/our-fate-a-new-family-v0-15-se-cedsense.7220/ Here's a screen capture from the game after I changed the name of the character from Angela to Ruby.
You will notice that the name is changed in the name box but not in the text.
Here is the rule I used:
I checked a few other places in the game and the name is not changed in the text in any of them.
Now I add a rule to change all instances of Angela to Ruby using Text Replacement:
The result is that the name change in the name box is gone and the text is still not changed.
Perhaps it's something unique to this game but I recall doing the same thing in another game with the same results.
One other thing I should mention is that when I add the new Text Replacement rule it doesn't show up in the list of text replacements, probably because the rule already matches an existing Renaming rule. Even though it's technically not a renaming rule but a text replacement rule - if that makes sense.
Thanks for getting back to me on this.