Not at all, IMO.
While both clays are pretty light in feel and weight, BCC's clay is much harder relative to CPC's and makes a brighter "clack" when brought together, while Paulsons generate a more dull thud when brought together and shuffled.
In terms of clay softness, it's Paulson the softest, then CPC, then BCC.
Personally, I prefer the harder feel of BCC's clay to both leaded and unleaded Paulson and any CPC chip out there.