diff --git a/peps/pep-0794.rst b/peps/pep-0794.rst
index 748c20eb36e..b8fa0bef002 100644
--- a/peps/pep-0794.rst
+++ b/peps/pep-0794.rst
@@ -165,20 +165,27 @@ If a project lists the same name in both ``Import-Name`` and
 ``Import-Namespace``, then tools MUST raise an error due to ambiguity; this also
 applies to ``import-names`` and ``import-namespaces``, respectively.
 
-Tools SHOULD raise an error when two projects that are to be installed list
-names that overlap in each other's ``Import-Name`` entries. This is to avoid
-projects unexpectedly shadowing another project's code. The same applies to when
-a project has an entry in ``Import-Name`` that overlaps with another project's
+Tools SHOULD raise an error when two projects that are about to be installed by
+a tool list names that overlap in each other's ``Import-Name`` entries (i.e.
+installed in the same command/action). This is to avoid projects unexpectedly
+shadowing another project's code. The same applies to when a project has an
+entry in ``Import-Name`` that overlaps with another project's
 ``Import-Namespace`` entries. This does not apply to overlapping
-``Import-Namespace`` entries as that's the purpose of namespace packages.
-
-Projects MAY leave ``Import-Name`` and ``Import-Namespace`` out of the core
-metadata for a project. In that instance, tools SHOULD assume that when the
-core metadata is 2.5 or newer, the normalized project name, when converted to
-an import name, would be an entry in ``Import-Name`` (i.e. ``-`` replaced with
-``_`` in the normalized project name). This is deemed reasonable as this will
-only occur for projects that make a new release once their build back-end
-supports core metadata 2.5 or newer as proposed by this PEP.
+``Import-Namespace`` entries as that's the purpose of namespace packages. Tools
+MAY warn or raise an error when installing a project into a preexisting
+environment where there is import name overlap with a project that is already
+installed. This is a "MAY" and not a "SHOULD" due to some users purposefully
+overwriting import names when installation is done in multiple steps (e.g.
+using different installers with the same environment).
+
+Tools MAY leave ``Import-Name`` and ``Import-Namespace`` out of the core
+metadata for a project. In that instance, tools consuming such metadata SHOULD
+assume that when the core metadata is 2.5 or newer, the normalized project name,
+when converted to an import name, would be an entry in ``Import-Name`` (i.e.
+``-`` replaced with ``_`` in the normalized project name). This is deemed
+reasonable as this will only occur for projects that make a new release once
+their build back-end supports core metadata 2.5 or newer as proposed by this
+PEP.
 
 Projects MAY set ``import-names`` or ``import-namespaces`` -- as well as
 ``Import-Name`` or ``Import-Namespace``, respectively -- to the normalized
@@ -211,6 +218,8 @@ there would be 3 expected entries:
 .. code-block:: TOML
 
     [project]
+    # The pytest docs list code out of all of these modules, so it isn't
+    # obvious whether they would mark any as private.
     import-names = ["_pytest", "py", "pytest"]