The Japanese text in that PDF doesn't say anything about cron. It just says that the script was overwritten "while there was an executing script in existence" (

The Japanese text in that PDF doesn't say anything about cron. It just says that the script was overwritten "while there was an executing script in existence" ("実行中のスクリプトが存在している状態で"), and doesn't say whether that was because that executing script was launched by cron or by hand.