Minor `RecordingLogger` improvements #11489

Job	Run time
check-codeql-versions	50s
analyze-other (python)	1m 3s
analyze-other (actions)	51s
analyze-javascript (ubuntu-22.04, linked)	4m 36s
analyze-javascript (ubuntu-22.04)	4m 37s
analyze-javascript (windows-2025)	6m 23s
analyze-javascript (macos-15)	7m 53s
analyze-javascript (windows-2025, linked)	6m 26s
analyze-javascript (windows-2022, linked)	6m 20s
analyze-javascript (ubuntu-24.04, linked)	4m 38s
analyze-javascript (ubuntu-24.04)	4m 38s
analyze-javascript (macos-14)	11m 56s
analyze-javascript (macos-14, linked)	10m 52s
analyze-javascript (macos-15, linked)	11m 10s
analyze-javascript (windows-2022)	7m 3s
	1h 29m 16s

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