Hi. I know this is a little late after the post but this has just happened to me.
I ran mine through T500 twice, taking good cuts on second run. The spirit was clear, I prodded down as usual and spirit was still clear. Ran it through carbon filter and one bottled was cloudy like yours. After doing some reading I found that carbon filters can sometimes leech mineral salts that turns your distillate a greyish cloudy colour, if left this settles to the bottom.
I have left mine and it has settled.
Has anyone heard of this before?