Do not believe everything you read in grammar books. There are many writers of grammar books ("mavens") who either invent spurious rules on English usage or over-prescribe out-dated or exaggerated "rules". In my opinion, there is no difference in sense or "correctness" between the infinitive and present participle forms in the sentences you quote. You will find few native speakers who would disagree, and who dictates usage of any language if not the majority of the native speakers?
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