Do you have practical experiences that damages occur on specific spots or due to a few bad operators?
More than 90% of your distribution suppliers are doing an excellent job and extremely seldom have a bad day. But in real life it is surprising that damages always occur at the same destination or by the same operator. It is not bad luck every time; some of your logistics suppliers have just a low quality.
Why use more packaging to protect? You must evaluate to replace these poor suppliers.