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I don't believe it's so much about the correction itself as it is about ignoring what the person said and only piping up to correct. Imagine we are having a conversation and you spend 3 minutes telling me about how you struggled to get the lug nuts off your tire this morning while changing it and when you finished, all I had to offer you is "they're on the rim, not the tire" and nothing more. It can come off as a bit rude.

Time and place. Quite arrogant to assume someone isn't just using local phrasing, as is the case here. People talk differently all over. The official use of English is simply official. How people actually use it in their communities is correct. Hope I'm being clear with my sentiment here.

It's all in the way the person points it out.