Why are CASE-expressions in the list documenting operator precedence?

In the list here:

https://mariadb.com/kb/en/operator-precedence/

case-expressions are put at the same precedence level as BETWEEN, between the NOT operator and the comparison operators.

However, case-expressions always begin with CASE and end with END, and all subexpressions are also delimited by the CASE keywords. They’re like parenthetical expressions, so I don’t understand why case-expressions are on this list.

Is there an SQL expression that would be parsed differently if the case-expression precedence was set higher or lower?

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Author: JoL