Personally I don't care what it's called or which ability it uses since I don't think it should be a roll anyway since it seems that with a DC of 1, we're meant to always succeed on them.
Not always.
A natural one will fail, of course.
But aside from that, there are some rolls that have higher DCs. Digging into any of your companion's minds, for example. Those rolls all have higher target numbers. Interestingly enough though, those rolls only say [Wisdom] in the dialogue choice options, neglecting to mention the [Illithid] portion.