You tell that to anyone who has ever been falsely accused of anything, and ask them if the invalidity of the accusation led to the experience of being accused, questioned, tried, and then found innocent being describable with the word "inoffensive."
(Then multiply whatever result you get from that by the propensity of the internet to hear an accusation and judge it to be true WITHOUT actually researching it/'putting it on trial', so to speak, and post your answer here, I'm sure it will make for fascinating reading! ;) )
So? If the criticism is invalid, then it's inoffensive. If it's valid, it's deserved.