[8.6](backport #34871) Don't safe-wrap processors that don't have Close

[mergify]

This is an automatic backport of pull request #34871 done by Mergify.

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• Start Time: 2023-03-21T16:57:18.738+0000

• Duration: 81 min 49 sec

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Test	Results
Failed	0
Passed	25062
Skipped	1965
Total	27027

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