Jared Westover explains a phenomenon:
Did you know that the Cost Threshold for Parallelism (CTFP) affects SQL Server’s choice of a trivial execution plan? One area that can suffer from this setting is the optimizer’s ability to suggest index recommendations. When SQL Server picks a trivial plan, it skips suggesting any missing indexes. So, if you’ve set a high CTFP and run simple queries, you might never get those handy index recommendations.
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