Yeah, it was confusing. I my circles the US one is known as "BP" and Canadian is "CBP". It makes more sense that they were talking about the Mexican border in retrospect given some other cues.
You must be misremembering, or maybe the your social circle mixed up the two by accident, which then became established. The Canadian border agency is never called CBP, because the actual name of the agency is CBSA. CBP always refers to the US agency.