refs #4452 - transfer timer results in `ProcessExecutor` (#8521) #19672

Job	Run time
build_cmake (ubuntu:24.04, true, true)	3m 49s
build_make (alpine:3.23)	5m 16s
build_cmake (ubuntu:25.10, true, true)	3m 50s
build_make (ubuntu:24.04)	2m 47s
build_make (ubuntu:25.10)	3m 43s
build_cmake (alpine:3.23, false, false)	4m 34s
	23m 59s

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