Hi adamk
Pantone swatches match specially mixed Pantone inks when printed onto a specific paper.
When considering the nearest value to that Pantone colour in the RGB or CMYK colourspace, we need to take into account the icc profile of the CMYK or RGB colourspace. For example the same actual visual colour in either sRGB or Adobe RGB colourspace has different numbers. Same goes for CMYK which is actually a recipe (in simplified terms) for the amounts of each of specific inks when printed onto specific paper at specific densities.
I suspect that your Illustrator colour settings for RGB and CMYK are different to your Photoshop ones.
In the RGB and CMYK colour spaces the numbers related to a colour are far from unequivocal unless an ICC profile is provided to reference those numbers against an unequivocal space such as XYZ or L*a*b*.
I have written something about that here: about icc colour profiles, icc profiles explained | colourmanagement.net
I hope this helps
if so, please do mark my reply as "helpful" and if you're OK now, please mark it as "correct" below, so others who have similar issues can see the solution
thanks
neil barstow, colourmanagement