API: Series[bool with missing] + bool consistency

[mroeschke]

In [2]: In [1]: import pandas as pd
   ...:    ...: import pyarrow as pa
   ...:    ...:
   ...:    ...: s = pd.Series([True, False, None])
   ...:    ...: s + True
Out[2]: 
0      2
1      1
2    NaN
dtype: object

In [3]: In [1]: import pandas as pd
   ...:    ...: import pyarrow as pa
   ...:    ...:
   ...:    ...: s = pd.Series([True, False, None], dtype=pd.BooleanDtype())
   ...:    ...: s + True
Out[3]: 
0    True
1    True
2    <NA>
dtype: boolean

In [4]: In [1]: import pandas as pd
   ...:    ...: import pyarrow as pa
   ...:    ...:
   ...:    ...: s = pd.Series([True, False, None], dtype=pd.ArrowDtype(pa.bool_()))
   ...:    ...: s + True
...
File ~/pandas/core/arrays/arrow/array.py:1022, in ArrowExtensionArray._evaluate_op_method(self, other, op, arrow_funcs)
   1020     result = pc_func(self._pa_array, other)
   1021 except pa.ArrowNotImplementedError as err:
-> 1022     raise TypeError(self._op_method_error_message(other_original, op)) from err
   1023 return self._from_pyarrow_array(result)

TypeError: operation 'add' not supported for dtype 'bool[pyarrow]' with object of type <class 'bool'>

In addition to consistency, which result is preferred? I could see Out[2] or raising being the sensible behavior