The thing is, if you read what others have posted at all, you will know that it is ikely that your DS was rude in the way he corrected the teacher - you said yourself that he had 'an edge' and is 'arrogant'.
Several posters, me included, made an explicit link to your DH's behaviour, which as you have already posted on here is abusive both physically and verbally, and which as we have said is very likely to be being picked up by DS in the way he interacts with other adults, as it is his 'normal'.
You then allowed your DH to go into school, which you already knew would not solve the problem of your DS's behaviour (which I therefore conclude that you didn't care about, as otherwise you would have tried to discuss it with school, rather than allowing your abusive DH to do so) .. and now you seem a bit surprised. Tbh, the teacher will just be saying 'now we understand why cherrycrumble junior behaves as they do, look at his dad'.... although depending on HOW abusive your DH was, there may be noteas on other files as well, just as part of the 'building up a picture' which underpins all successful work with children.
You just don't seem to be very good, to be frank, at joining the obvious dots. I can understand, though, if you are on the receiving end of the treatment you have outlines, you are unlikely to be in the best place to make accurate judgements. It may be, if the school are on the ball, that they may start to join dots between changes in your child's behaviour, your DH's behaviour etc.