The reason that these are all different are many - the larges one being that I do not believe that Adobe actually gets the LAB values when they license the Panone library to Adobe (and others) - - so, do not blame adobe (or anyone but Pantone or X-Rite for that.
-- and besides THAT issue, depending on your color settings, even if you have a custom spot color in all three using the same LAB values - since you do not actually print with "LAB" inks, the application Color Settings will determine what CMYK recipie you may get - if you are actually going to print a spot color using a spot ink, all this is a silly waste of time as this is only used to 'simulate' on screen or on some inkjet proofer anyway.
Pantone is a named color space. Most RIP vendors who license the Pantone library are basically doing what they need to to convert your expectation into something that may resemble what that Pantone book looks like. As Leonard mentioned - since 1964 when the first Pantone book was printed, printing methods hae changed dramatically, as has the way paper and ink has been made - in 1986, I had a Pantone book that had the letters SWOP on it, and trust me, they did NOT print that book using SWOP - they did not print on Champion Textweb (which is a very yellowish pub stock that NO ONE PRINTS ON ANYMORE AND THEY DO NOT MANUFACTURE ANYMORE (so, I am puzzled why we refer to anything using the word "SWOP" anyway) - besides the paper changing how a color appears, the inks, the screen type, the screen angles - the ink rotation or order sequense (YMCK, KMCY, YMCK) - well, that has changed as the industry changes.
ALSO what has changed significantly is the BASE inks Pantone now uses to come up with the colors.
So, this is a moving target. Can you display LAB properly (well, no, not exactly) - another question - is their any method available in Adobe Photoshop, Adobe Illustrator or Adobe InDesign to display on your monitor many spot color accurately - nope! - certainly not !
Your example is a good one - a darker orange - try Pantone 151 - double dog dare ya !
when you might have a tint of that spot color, and (gasp) if you have two spot colors interacting with each other (such as using a transparency effect or having two spots overprint) - well, you are immediately in no mans land.
THIS IS NOT the fault of Adobe. This is a very very complex issue to overcome - not only related to monitors and gamut - but the shear amount of calculations that are required to determine how that color will print is very huge - one needs to consider things like "how opaque is that ink - it took decades to come up with just 4 (CMY and K) and as you can see, we have many different profiles JUST FOR THESE SOMEWHAT TRANSLUCENT INKS.
So, even if adobe fixed it so all applications reported the same pantone color with the same LAB values, we then have the much bigger issue of color managing that so we might report RGB or CMYK values - through an output intent (a special case of an ICC profile that would enable you to see and print what you will get under a specific press condition)
Again, if you are actually printing with that spot, this is all moot - it is only when you are trying to display this in photoshop or Acrobat that things get wacky.
And now - we start all over with Pantone Goe. Note that Pantone Goe is NOT something that comes with Photoshop at install - you need to download and place it (Presets/Color Swatches) so Adobe applications (in this example, Photoshop) can access it...
Hope this helps muddy things up even more than they already are - what can I say, i guess it is all a broken mess and in need of help - maybe X-rite CxF will save us after all ?
