redound to

昨日のラグビー大学選手権決勝は帝京大学の圧勝でした。早稲田の頑張りも序盤だけ、後はやられっぱなし。試合としては面白くありませんでした。
さて、Yuval Noah Harariの "21 Lessons for the 21st Century" を読んでいます。
Lesson 17(Post-Truth)から引用します。

Trumped-up stories of 'ritual murders' of Christian boys by Jewish communities were common throughout Europe during the Middle Ages and even much later. These fictions cost many innocent Jews their lives. Lincoln had its own legend and the alleged victim was buried in the Cathedral in the year 1255. Such stories do not redound to the credit of Christendom.

"redound" を辞書で見たら、Oxford English DictionaryではPhrasal Verbの "redound to" を見ろとありました。

・Oxford English Dictionary: to improve the impression that people have of you: Their defeat redounds to the glory of those whom they attacked.
・Collins Dictionary: If an action or situation redounds to your benefit or advantage, it gives people a good impression of you or brings you something that can improve your situation.: The success in the Middle East redounds to his benefit.
・Vocabulary.com: Use the verb redound in formal situations to mean "contribute" or "have an effect." You could tell your friend that his patience with unruly children will redound to his reputation as a good school bus driver.
Redound shows up only in the most formal speech and writing, but it's a good way to describe an effect on someone's good name or prestige. Your travels around Asia will redound to your fame as an adventurous traveler, while your unwillingness to talk to your neighbors could redound to your unfriendly reputation. Originally, redound described something that overflows which is the meaning of the Latin root word, redundare.