docs: withKubernetesClient improved docs #4854

Job	Run time
check_format_and_unit_tests	1m 11s
special_integration_tests (11)	1m 44s
special_integration_tests (17)	1m 52s
httpclient-tests (jdk) / integration_tests	18m 37s
httpclient-tests (jetty) / integration_tests	20m 8s
httpclient-tests (vertx) / integration_tests	19m 0s
integration_tests (11, 1.30.3) / integration_tests	19m 22s
integration_tests (11, 1.31.0) / integration_tests	20m 4s
integration_tests (11, v1.28.12) / integration_tests	22m 18s
integration_tests (11, v1.29.7) / integration_tests	19m 10s
integration_tests (17, 1.30.3) / integration_tests	19m 46s
integration_tests (17, 1.31.0) / integration_tests	20m 1s
integration_tests (17, v1.28.12) / integration_tests	18m 33s
integration_tests (17, v1.29.7) / integration_tests	19m 13s
	3h 40m 59s

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