improve: eager informer start check (#3275) #6746

Job	Run time
sample_operators_tests (sample-operators/metrics-processing)	7m 46s
sample_operators_tests (sample-operators/leader-election)	3m 30s
sample_operators_tests (sample-operators/webpage)	3m 10s
sample_operators_tests (sample-operators/mysql-schema)	2m 36s
sample_operators_tests (sample-operators/tomcat-operator)	2m 43s
	19m 45s

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