diff --git a/Lib/fontTools/ttLib/tables/_n_a_m_e.py b/Lib/fontTools/ttLib/tables/_n_a_m_e.py
index bbb4f5364..e30086adb 100644
--- a/Lib/fontTools/ttLib/tables/_n_a_m_e.py
+++ b/Lib/fontTools/ttLib/tables/_n_a_m_e.py
@@ -1175,17 +1175,8 @@ class NameRecordVisitor(TTVisitor):
 
 @NameRecordVisitor.register_attrs(
     (
-        (otTables.FeatureParamsSize, ("SubfamilyID", "SubfamilyNameID")),
+        (otTables.FeatureParamsSize, ("SubfamilyNameID",)),
         (otTables.FeatureParamsStylisticSet, ("UINameID",)),
-        (
-            otTables.FeatureParamsCharacterVariants,
-            (
-                "FeatUILabelNameID",
-                "FeatUITooltipTextNameID",
-                "SampleTextNameID",
-                "FirstParamUILabelNameID",
-            ),
-        ),
         (otTables.STAT, ("ElidedFallbackNameID",)),
         (otTables.AxisRecord, ("AxisNameID",)),
         (otTables.AxisValue, ("ValueNameID",)),
@@ -1197,6 +1188,22 @@ def visit(visitor, obj, attr, value):
     visitor.seen.add(value)
 
 
+@NameRecordVisitor.register(otTables.FeatureParamsCharacterVariants)
+def visit(visitor, obj):
+    for attr in ("FeatUILabelNameID", "FeatUITooltipTextNameID", "SampleTextNameID"):
+        value = getattr(obj, attr)
+        visitor.seen.add(value)
+    # also include the sequence of UI strings for individual variants, if any
+    if obj.FirstParamUILabelNameID == 0 or obj.NumNamedParameters == 0:
+        return
+    visitor.seen.update(
+        range(
+            obj.FirstParamUILabelNameID,
+            obj.FirstParamUILabelNameID + obj.NumNamedParameters,
+        )
+    )
+
+
 @NameRecordVisitor.register(ttLib.getTableClass("fvar"))
 def visit(visitor, obj):
     for inst in obj.instances: