You are making an assumption about the context and intent of the statement, such as: that it is intended to be taken as a statement of fact - and therefore you are assuming that the only logical interpretation is the one that confirms with fact.
In my experience, the speaker intends it as a statement of fact but they do not know how to say it or do not care.
Of course, we reasonably know some Muslims are terrorists & assume the speaker is kindly pointing out that not all are. Tho we think we understand the intent, the sentence does not say what we think the speaker wants to say.
In the previous example, we do not know the parents being referred to. We have no way to know whether any or all care about children's education yet some assume they know the speaker meant something other than what was said.
Your point seems to fit even when the facts are not known.
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