You wrote a lot of stuff in response to one sentence, and seem to assume that if it triggered someone it must all be true.
Has it occurred to you that stereotypes tend to annoy people whether they are false or true?
Also, if you, off the cuff, evaluate someone you don't know at all as unsuitable for something, quite possibly they have information that tends to rule out your hypothesis, like that they were able to do in a different environment what wasn't possible in a previous one.
As a someone who has done a lot of hiring: 'I know the type'.