And indeed a real treat - kudos to JLC for this impressive piece of movement design.
I can't help to add a big "but" here 
The inflation of so called "complications" seems more than a bit strange to me personally.
I know there isn't a comprehensive, bullet proof definiition for that term, but at least there areenough historical hints
what was considered a complication, a grande complicantion and so on.....around the time this term was born.
At least to me, there is no reason to follow any "new interpretation" born in one of the marketing departements for obvious reasons.
And I'm sorry, but if this indeed is the way JLC uses the "list" of complications - it is a pity that I personally feel a bit distracted - and I feel it doesn't do the
actual piece justice.
Following this way of counting "complications" - one can easily achieve any desired number (why not extend the "complications" up to 88 - would be even
better for certain markets
)
BTW, you refer to "others following the same path in counting "complications", among those PP - I've never seen a list like this from PP???
Either I've missed something, or you're refering to the list of functions - found in catalogs or the website?? But, if I'm not mistaken
there is no reference (i.e. in PP material) listing seperate functions or technical details as "complication".
I'm not a friend of any sort of "most complicated" hit-list - but done this way it's only ridiculous and more than a stretch - of course in my personal view only.
I might be wrong and JLC's original intention is more along the line of a list of technical merits, or "innovations"......in case, sorry for the rant 
Best regards
Suitbert