Firstly, residue isn't a racially charged term, it's not something we use on a regular basis to demean any group. So, using that word doesn't seem like a word people should avoid using. However, even though me as a POC I don't think the word is bad in any way, I don't believe to policing or trying to debunk how other feel about specific words or terms if they're used against you, so I think it's fine if people feel that way.
Look up the synonyms for residue and note how many of those synonyms were words that were/are used to disparage people of color. There's a reason people took offense to what he said, and it's not that we're all just irrational complainers. He went from talking about white liberals leaving, to "residue" being more diverse. It was a direct contrast between white and non-white, and as such that term 'residue' being used to describe the other side of that contrast is completely inappropriate.
More importantly, more than just the word, conceptually he's off-base. The level of support Bernie has among people of color is not just from supporters from 2016. Many of them are new and are not "left overs". That his support from people of color is on a similar LEVEL to 2016 does not mean that that support is 100% FROM 2016 (i.e he lost some of those supporters and gained some new ones). You don't just call these people residue. On top of the fact that he could have just referred to the voters as voters (like he did with 'white liberal'), his statement also discounts the very real concerns that drove these people to Bernie's campaign and effectively handwaves their support as meaningless and insignificant. It's not a good look.
The thing that's weirder to me though, is that, secondly, he didn't refer to POC as residue. He was referring to the total amount of support he has now, versus the total amount of support he had last cycle as residue. Not POC as residue. The conversation though, it doesn't seem to be that he referred to all current Bernie fans as residue of last year, it seems like this is missed. Maybe there's a good reason that "all Bernie fans now are the residue of all Bernie fans last year" becomes "POC Bernie fans are residue", because of something he's said previously, but I don't see it right now.
Uhh, let me help you out here (brackets are mine):
White liberals have been particularly likely to leave him (for Warren) so the residue of what's left [remaining group of non-white liberals/leftists/conservatives, etc.] is more diverse.
He just flat out called these people residue, as evidenced by his contrast with white liberals. There was no need for him to do that.