refs #14599 - moved `ShowTime` logic out of timer-related code #19566

Job	Run time
build_make (ubuntu:25.10)	5m 32s
build_cmake (alpine:3.23, false, false)	4m 27s
build_cmake (ubuntu:24.04, true, true)	5m 15s
build_make (alpine:3.23)	4m 40s
build_make (ubuntu:24.04)	4m 37s
build_cmake (ubuntu:25.10, true, true)	5m 45s
	30m 16s

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