Add fault tolerance Streaming Dataset 2/n

[tchaton]

What does this PR do?

This PR addresses the comments from @awaelchli on this PR: #19049

Fixes #<issue_number>

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📚 Documentation preview 📚: https://pytorch-lightning--19052.org.readthedocs.build/en/19052/

cc @Borda

[github-actions]

⚡ Required checks status: All passing 🟢

Groups summary

🟢 lightning_data: CPU workflow

Check ID	Status
data-cpu (macOS-11, lightning, 3.10, 2.1)	success	✅
data-cpu (ubuntu-20.04, lightning, 3.10, 2.1)	success	✅
data-cpu (windows-2022, lightning, 3.10, 2.1)	success	✅

These checks are required after the changes to src/lightning/data/streaming/cache.py, src/lightning/data/streaming/dataset.py, src/lightning/data/streaming/reader.py, src/lightning/data/streaming/sampler.py, src/lightning/data/streaming/serializers.py, src/lightning/data/streaming/shuffle.py, tests/tests_data/streaming/test_dataset.py, tests/tests_data/streaming/test_reader.py.

🟢 mypy

Check ID	Status
mypy	success	✅

These checks are required after the changes to src/lightning/data/streaming/cache.py, src/lightning/data/streaming/dataset.py, src/lightning/data/streaming/reader.py, src/lightning/data/streaming/sampler.py, src/lightning/data/streaming/serializers.py, src/lightning/data/streaming/shuffle.py.

🟢 install

Check ID	Status
install-pkg (ubuntu-22.04, app, 3.8)	success	✅
install-pkg (ubuntu-22.04, app, 3.11)	success	✅
install-pkg (ubuntu-22.04, fabric, 3.8)	success	✅
install-pkg (ubuntu-22.04, fabric, 3.11)	success	✅
install-pkg (ubuntu-22.04, pytorch, 3.8)	success	✅
install-pkg (ubuntu-22.04, pytorch, 3.11)	success	✅
install-pkg (ubuntu-22.04, lightning, 3.8)	success	✅
install-pkg (ubuntu-22.04, lightning, 3.11)	success	✅
install-pkg (ubuntu-22.04, notset, 3.8)	success	✅
install-pkg (ubuntu-22.04, notset, 3.11)	success	✅
install-pkg (macOS-12, app, 3.8)	success	✅
install-pkg (macOS-12, app, 3.11)	success	✅
install-pkg (macOS-12, fabric, 3.8)	success	✅
install-pkg (macOS-12, fabric, 3.11)	success	✅
install-pkg (macOS-12, pytorch, 3.8)	success	✅
install-pkg (macOS-12, pytorch, 3.11)	success	✅
install-pkg (macOS-12, lightning, 3.8)	success	✅
install-pkg (macOS-12, lightning, 3.11)	success	✅
install-pkg (macOS-12, notset, 3.8)	success	✅
install-pkg (macOS-12, notset, 3.11)	success	✅
install-pkg (windows-2022, app, 3.8)	success	✅
install-pkg (windows-2022, app, 3.11)	success	✅
install-pkg (windows-2022, fabric, 3.8)	success	✅
install-pkg (windows-2022, fabric, 3.11)	success	✅
install-pkg (windows-2022, pytorch, 3.8)	success	✅
install-pkg (windows-2022, pytorch, 3.11)	success	✅
install-pkg (windows-2022, lightning, 3.8)	success	✅
install-pkg (windows-2022, lightning, 3.11)	success	✅
install-pkg (windows-2022, notset, 3.8)	success	✅
install-pkg (windows-2022, notset, 3.11)	success	✅

These checks are required after the changes to src/lightning/data/streaming/cache.py, src/lightning/data/streaming/dataset.py, src/lightning/data/streaming/reader.py, src/lightning/data/streaming/sampler.py, src/lightning/data/streaming/serializers.py, src/lightning/data/streaming/shuffle.py.

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Thank you for your contribution! 💜

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