diff --git a/main/src/test/scala/ParseKey.scala b/main/src/test/scala/ParseKey.scala
index 7e348ab73..953d4bf5d 100644
--- a/main/src/test/scala/ParseKey.scala
+++ b/main/src/test/scala/ParseKey.scala
@@ -25,49 +25,66 @@ import sbt.librarymanagement.Configuration
  * This includes properly resolving omitted components.
  */
 object ParseKey extends Properties("Key parser test") {
-  property("An explicitly specified axis is always parsed to that explicit value") = forAll {
-    (skm: StructureKeyMask) =>
-      import skm.{ structure, key }
-      val hasZeroConfig = key.scope.config == Zero
-      val mask = if (hasZeroConfig) skm.mask.copy(project = true) else skm.mask
-      // Note that this explicitly displays the configuration axis set to Zero.
-      // This is to disambiguate `proj/Zero/name`, which could render potentially
-      // as `Zero/name`, but could be interpreted as `Zero/Zero/name`.
-      val expected = resolve(structure, key, mask)
-      parseCheck(structure, key, mask, hasZeroConfig)(
-        sk =>
-          Project.equal(sk, expected, mask)
-            :| s"$sk.key == $expected.key: ${sk.key == expected.key}"
-            :| s"${sk.scope} == ${expected.scope}: ${Scope.equal(sk.scope, expected.scope, mask)}"
-      ) :| s"Expected: ${displayFull(expected)}"
+  propertyWithSeed("An explicitly specified axis is always parsed to that explicit value", None) =
+    forAll(roundtrip(_))
+
+  def roundtrip(skm: StructureKeyMask) = {
+    import skm.{ structure, key }
+
+    // if the configuration axis == Zero
+    // then a scoped key like `proj/Zero/Zero/name` could render potentially as `Zero/name`
+    // which would be interpreted as `Zero/Zero/Zero/name` (Global/name)
+    // so we mitigate this by explicitly displaying the configuration axis set to Zero
+    val hasZeroConfig = key.scope.config == Zero
+
+    val showZeroConfig = hasZeroConfig || hasAmbiguousLowercaseAxes(key)
+    val mask = if (showZeroConfig) skm.mask.copy(project = true) else skm.mask
+
+    val expected = resolve(structure, key, mask)
+    parseCheck(structure, key, mask, showZeroConfig)(
+      sk =>
+        Project.equal(sk, expected, mask)
+          :| s"$sk.key == $expected.key: ${sk.key == expected.key}"
+          :| s"${sk.scope} == ${expected.scope}: ${Scope.equal(sk.scope, expected.scope, mask)}"
+    ) :| s"Expected: ${displayFull(expected)}"
   }
 
-  property("An unspecified project axis resolves to the current project") = forAll {
-    (skm: StructureKeyMask) =>
-      import skm.{ structure, key }
-      val mask = skm.mask.copy(project = false)
-      // skip when config axis is set to Zero
-      val hasZeroConfig = key.scope.config == Zero
-      parseCheck(structure, key, mask)(
-        sk =>
-          (hasZeroConfig || sk.scope.project == Select(structure.current))
-            :| s"Current: ${structure.current}"
-      )
+  propertyWithSeed("An unspecified project axis resolves to the current project", None) = forAll(
+    noProject(_)
+  )
+
+  def noProject(skm: StructureKeyMask) = {
+    import skm.{ structure, key }
+    val mask = skm.mask.copy(project = false)
+    // skip when config axis is set to Zero
+    val hasZeroConfig = key.scope.config == Zero
+    val showZeroConfig = hasAmbiguousLowercaseAxes(key)
+    parseCheck(structure, key, mask, showZeroConfig)(
+      sk =>
+        (hasZeroConfig || sk.scope.project == Select(structure.current))
+          :| s"Current: ${structure.current}"
+    )
   }
 
-  property("An unspecified task axis resolves to Zero") = forAll { (skm: StructureKeyMask) =>
+  propertyWithSeed("An unspecified task axis resolves to Zero", None) = forAll(noTask(_))
+
+  def noTask(skm: StructureKeyMask) = {
     import skm.{ structure, key }
     val mask = skm.mask.copy(task = false)
     parseCheck(structure, key, mask)(_.scope.task == Zero)
   }
 
-  property(
-    "An unspecified configuration axis resolves to the first configuration directly defining the key or else Zero"
-  ) = forAll { (skm: StructureKeyMask) =>
+  propertyWithSeed(
+    "An unspecified configuration axis resolves to the first configuration directly defining the key or else Zero",
+    None
+  ) = forAll(noConfig(_))
+
+  def noConfig(skm: StructureKeyMask) = {
     import skm.{ structure, key }
     val mask = ScopeMask(config = false)
     val resolvedConfig = Resolve.resolveConfig(structure.extra, key.key, mask)(key.scope).config
-    parseCheck(structure, key, mask)(
+    val showZeroConfig = hasAmbiguousLowercaseAxes(key)
+    parseCheck(structure, key, mask, showZeroConfig)(
       sk => (sk.scope.config == resolvedConfig) || (sk.scope == Scope.GlobalScope)
     ) :| s"Expected configuration: ${resolvedConfig map (_.name)}"
   }
@@ -350,4 +367,12 @@ object ParseKey extends Properties("Key parser test") {
       case (delegates, key) => Taskk(key, delegates)
     }
   }
+
+  // if both a project and a key share the same name (e.g. "foo")
+  // then a scoped key like `foo/<conf>/foo/name` would render as `foo/name`
+  // which would be interpreted as `foo/Zero/Zero/name`
+  // so we mitigate this by explicitly displaying the configuration axis set to Zero
+  def hasAmbiguousLowercaseAxes(key: ScopedKey[_]) = PartialFunction.cond(key.scope) {
+    case Scope(Select(ProjectRef(_, proj)), _, Select(key), _) => proj == key.label
+  }
 }