[C++] RecordBatchWriter::Close does not prevent future writes

[cih9088]

Describe the bug, including details regarding any error messages, version, and platform.

import pyarrow as pa

data = [
    pa.array([1, 2, 3, 4]),
    pa.array(['foo', 'bar', 'baz', None]),
    pa.array([True, None, False, True])
]

batch = pa.record_batch(data, names=['f0', 'f1', 'f2'])

f = pa.ipc.new_stream('test.arrow', batch.schema)
f.write_batch(batch)
f.close()
# still writable
f.write_batch(batch)

with pa.ipc.new_file('test2.arrow', batch.schema) as f2:
    f2.write_batch(batch)
# still writable
f2.write_batch(batch)

Maybe related to #34423?
I tried with gc but no luck.

Component(s)

Python

[westonpace]

Good catch. I'm going to move this one to C++ since the fix should probably be on the arrow::ipc::RecordBatchWriter C++ class. I think it would be fairly straightforward.

[Ziy1-Tan]

take

[jjerphan]

Hi @Ziy1-Tan, are you still planning to work on this PR?

[Ziy1-Tan]

Hey, @jjerphan! Sorry, I'm busy this period. Free free to take this:)

[chrisjordansquire]

@westonpace - I created a PR for this issue, #37783 . Review would be greatly appreciated!