What I remember reading about it some long time ago was that many people opposed the change—some, even hysterically—because, they said, the calendar adjustment would shorten their lives by eleven days. (Was it eleven?) I suppose there must have been a contemporaneous source for that information, assuming it was accurate and I’m recalling it accurately.
The account I read posed that objection in terms that clearly invited the reader to marvel at what an absurdly illogical objection that was; in our enlightened day, of course we would know better.
And so I would have thought, too, but only until I read recently that some people reject daylight savings time because “If standard time is good enough for God, it’s good enough for me.”
These days I don’t think there’s anything too illogical to be believed by someone. So I guess the story is perfectly plausible.