BUG: Fix NA comparison inconsistency for object dtype Series

Fix `comp_method_OBJECT_ARRAY` to return `BooleanArray` when input contains
`pd.NA` values, ensuring NA is properly propagated in comparison results
instead of returning `False`.

Previously, when comparing an object dtype Series containing `pd.NA` with
a scalar, the vectorized comparison would return `False` for NA positions
instead of `<NA>`.

Closes #63328

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Co-Authored-By: Claude Opus 4.5 <[email protected]>

Author: majiayu000

pandas/core/ops/array_ops.py

@@ -114,6 +114,7 @@ def fill_binop(left, right, fill_value):
 
 def comp_method_OBJECT_ARRAY(op, x, y):
     from pandas._libs import missing as libmissing
+
     from pandas.core.arrays import BooleanArray
 
     if isinstance(y, list):
@@ -137,11 +138,8 @@ def comp_method_OBJECT_ARRAY(op, x, y):
     # GH#63328: Check if there are pd.NA values in the input and return
     # BooleanArray to properly propagate NA in comparisons
     x_has_na = any(val is libmissing.NA for val in x.ravel())
-    y_has_na = (
-        is_scalar(y) and y is libmissing.NA
-    ) or (
-        isinstance(y, np.ndarray)
-        and any(val is libmissing.NA for val in y.ravel())
+    y_has_na = (is_scalar(y) and y is libmissing.NA) or (
+        isinstance(y, np.ndarray) and any(val is libmissing.NA for val in y.ravel())
     )
 
     if x_has_na or y_has_na: