The OP, Narikin, started this thread on the subject of making test prints on a paper that has a lot of resemblance to the paper for the final print. Both printed on the same inkjet printer, white point close, satin like surface. His comment on the difference;
>>(and nb it was not a color shift between the two prints, they were both bang-on, but in the pricey paper there was more color-depth overall. As Mark says you would not have appreciated it till they were side by side, then it was immediately obvious) <<
With the conditions sketched I still think there is a gamut difference between the two papers. It is also unsure whether the paper profile was up to date for the Canson Platine 2017 version. The image Narikin used + rendering choices showed these differences I estimate.
Tony on the other hand had two papers that resembled one another a bit less, the proofing paper having slightly more OBA, the Epson Platine without it. Surface similar to the OP's papers. Tony's printer profiles were fresh for both papers and the image an sRGB assigned one perceptually rendered in printing. His comment;
>> The printed results on the two papers were almost identical visually, and the gamut maps of the two profiles were almost identical as well. We also tried the canned Epson profile for the Platine and it was close to our created profiles but not as exact a match as printing from the profiles that we created. Printing was done on an Epson SureColor P9000. <<
I do not see much reason to go the 'color appearance' route for explaining the visual difference in the OP prints. Based on the comments of both Narikin and Tony and having samples of the 4 papers here.
The , 'it is a proofing paper' does not cut wood either (to use a Dutch expression), the paper Narikin used has a very good gamut and more than enough visual similarity to the Epson or Canson Platine. Possibly not enough gamut for the last version of the Canson Platine when the image used, and rendering selected can benefit more of the better gamut.
Way more difficult to create a visual match is when you get Epinal prints of more than a 100 years old, nicely discolored due to the paper making processes of that period and all with different textures. Inks not the same and in the originals mainly spot colors. Sure then in the end you have to create an appearance match with the right paper texture selected etc. Select color adjustments as a last step.
Met vriendelijke groet, Ernst
http://www.pigment-print.com/spectralplots/spectrumviz_1.htmMarch 2017 update, 750+ inkjet media white spectral plots