diff --git a/tzk/builders.py b/tzk/builders.py
index 860fed0..93b30f5 100644
--- a/tzk/builders.py
+++ b/tzk/builders.py
@@ -360,7 +360,7 @@ def _private_people_replacement_table(
 
 
 @tzk_builder
-def replace_private_people(initialer: Callable[[str], str] = None, replace_text = False) -> None:
+def replace_private_people(initialer: Callable[[str], str] = None, replace_link_text = False) -> None:
     """
     Replace the names of people who are not marked Public with their initials.
 
@@ -378,16 +378,26 @@ def replace_private_people(initialer: Callable[[str], str] = None, replace_text
     (e.g., MsJaneDoe becomes J.D.). The links point to the tiddler ``PrivatePerson``,
     which explains this process.
 
-    :param initialer:    If you don't like the way that initials
-                         are generated from tiddler filenames by default,
-                         you can customize it by passing a callable
-                         that takes one string argument
-                         (a tiddler filename without the full path, e.g., ``MsJaneDoe.tid``)
-                         and returns a string to be considered the "initials" of that person.
+    :param initialer: If you don't like the way that initials
+                      are generated from tiddler filenames by default,
+                      you can customize it by passing a callable
+                      that takes one string argument
+                      (a tiddler filename without the full path, e.g., ``MsJaneDoe.tid``)
+                      and returns a string to be considered the "initials" of that person.
 
-    :param replace_text: If you have links in the form ``[[John|MrJohnDoe]]``, then enabling
-                         this option ensures that the link text `John` is also replaced with
-                         the initials.
+    :param replace_link_text: If you have links in the form
+                              ``So then [[John said|MrJohnDoe]] something about this``,
+                              then enabling this option ensures that the link is fully
+                              replaced with
+                              ``So then [[J.D.|PrivatePerson]] something about this``.
+                              This means that when using this feature, having the
+                              link text also be meaningful after redaction is important.
+
+    .. warning ::
+        Using this link replacement feature does not redact everything, just the link
+        (and the link text with `replace_link_text` enabled). So *do not* rely on it
+        for redacting everything. Making a tiddler public still needs consideration and
+        tooling is there to help, not to replace your own judgment.
     """
     assert 'public_wiki_folder' in build_state
 
@@ -405,7 +415,7 @@ def replace_private_people(initialer: Callable[[str], str] = None, replace_text
                     if '|' + replace_person + ']]' in lines[i]:
                         # link with the person as the target only;
                         # beware that you might have put something private in the text
-                        if replace_text:
+                        if replace_link_text:
                             # with this option, the initials are also
                             # put in the text, solving the warning before
                             end = lines[i].find('|' + replace_person + ']]')
@@ -415,8 +425,8 @@ def replace_private_people(initialer: Callable[[str], str] = None, replace_text
 
                             lines[i] = lines[i].replace(search, replace)
                         else:
-                            lines[i] = line.replace(replace_person, 'PrivatePerson')
-                    elif '[[' + replace_person + ']]' in line:
+                            lines[i] = lines[i].replace(replace_person, 'PrivatePerson')
+                    elif '[[' + replace_person + ']]' in lines[i]:
                         # link with the person as the target and text
                         lines[i] = lines[i].replace(
                                 replace_person,