In older threads I have seen the "White Carbon Black" described as a fine white sand which makes me wonder why it should have the Carbon association. More likely an alumina, silicon or titanium relation then. I see Silicon Dioxide powder mentioned as WCB in ads. Kaolin is a cheaper and a more complex mineral based on alumina + silicon. There are more. The main true carbon component in an inkjet paper is the cellulose paper base which can be very white depending on its purity.
Whatever paper components are used there are more OBA free papers with a high white reflectivity and less than Lab b 2 warmth. For example in the Cotton Smooth Fine art category: Bergger, Canson, Moab, Museo, Premier. Small differences there too, the Moab more likely using a TiO2 whitening agent that absorbs UV more. Could be as subtle as the TiO2 anatase versus rutile crystal form or the SiO2 addition in other papers next to TiO2, the SiO2 UV absorption is shifted more to shorter wavelengths, higher frequencies.
Without scientific spectrometers it will be very difficult to check exactly which whitening agents or blends of them are used in inkjet papers. The crystal forms can be different too. If a paper has to have a neutral or cold white reflection it can not really be done without an OBA. Adding blue colorants or changing the spectral distribution otherwise to achieve a similar effect decreases the total white reflection. In some cases you can see in SpectrumViz that OBA free papers with the same spectral reflectivity at the blue/shorter wavelength side differ on the warmer side of the spectral distribution which gives them a near neutral white but also a slight drop in total reflection.
On satin, gloss, fiber/baryta cotton papers with high white reflection, OBA free: if you check the Jon Cone Type 5 spectral plot the total white reflection exceeds that of the matte Canson Rag Photographique, Lab 98.1 -0.1 2.6 versus Lab 97.6 0.1 1.8 and the last suits my spectrometer better than the glossier Type 5 so the difference should be higher in practice. Indicates to me mineral whitening agents added. The Canson slightly more neutral as its warm side reflection is lower. That applies even more to the Canson Platine compared to the Type 5.
RC papers without OBA are rare, they all have a polyethylene barrier with TiO2 whitening agent. The proofing papers usually have less OBA and the Epson Proofing White Semi-Matte is among the best then with still a high white reflection. Warm white though but with a big gamut. No wonder the Epson ads praise the gamut of the x900 printer models based on prints with that paper. Ideal for an image with strawberries in a basket. Which has been a favorite image at the introduction of any new color imaging technology if I have to believe the history books. Off topic now.
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Met vriendelijke groet, Ernst
http://www.pigment-print.com/spectralplots/spectrumviz_1.htmApril 2014, 600+ inkjet media white spectral plots.