if you look at (e.g.) Birds of Peru book you'll see the difference between the white throated "slightly protruding ridge" and the channel-billed channel. When visible, channel doesn't exactly follow the edge of the top of the bill (isn't parallel with it) but slants more or less linearly from the top of the bill downwards (tipwards). It's illustrated well here:
Macaulay Library ML48690021; © Jerome Foster; Point Fortin, Trinidad and Tobago
macaulaylibrary.org
[Once again, the ssp here isn't important]
In contrast, a flattened ridge which follows the top edge of the bill is present on this white-throated toucan:
Macaulay Library ML379166731; © Jory Teltser; Cuzco [Cusco], Peru
macaulaylibrary.org
As you'll see from the previous discussion, the channel isn't always visible. I think a bird with the linear downwards channel is definitely channel-billed, but a bird with a ridge or no clear channel may or may not be.