Trying to talk in short soundbites about entire cultural/ethnic groups is always difficult and never advisable. It was not smart to try and cover the entire black community with any sort of blanket statement about a lack of diversity of thought. Note, however, that Biden does say, "with notable exceptions" when making that statement about the AA community. Furthermore, his point is correct in that there is much greater variation within the latinx communities, much of which may reflect the heritage of the non-US communities from which their families came. This can be seen in all manner of forms with respect to social values, political thought, religion, etc.
Biden's problem here, is that he didn't even need to "go there" - he could have simply said that he is going to look at all populations where deportation issues exist and note that each population is going to have different issues/context with respect to how the problems are addressed. There was no need to even talk about the AA community in this particular interview. So, it's definitely a self-inflicted wound.
