diff --git a/support/scripts/pkg-stats b/support/scripts/pkg-stats
index a87bb23a8e..bbd1e3e6f0 100755
--- a/support/scripts/pkg-stats
+++ b/support/scripts/pkg-stats
@@ -205,7 +205,7 @@ class Package:
                 infra = match.group(1)
                 if infra.startswith("host-") and keep_host:
                     self.infras.append(("host", infra[5:]))
-                elif keep_target:
+                elif not infra.startswith("host-") and keep_target:
                     self.infras.append(("target", infra))
 
     def set_license(self):
@@ -342,9 +342,10 @@ class Package:
         return self.path < other.path
 
     def __str__(self):
-        return "%s (path='%s', license='%s', license_files='%s', hash='%s', patches=%d)" % \
+        return "%s (path='%s', license='%s', license_files='%s', hash='%s', patches=%d, infras=%r)" % \
             (self.name, self.path, self.is_status_ok('license'),
-             self.is_status_ok('license-files'), self.status['hash'], self.patch_count)
+             self.is_status_ok('license-files'), self.status['hash'], self.patch_count,
+             self.infras)
 
 
 def get_pkglist(trees, npackages, package_list):