I don't even have to, really. The difference should be obvious, especially to Dex. He does bold out some more relevant lines below though.
PF talks about "enforcing a single Caldari culture and identity for the purposes of unity and cohesion", including being monolingual. Meanwhile, other aspects of PF clearly draw stark differences between various megacorporate cultures. Not only that, but even strong dialects and accents are referenced in PF.
There may be a single unifying "Caldari culture", but that does not mean Caldari culture is homogeneous. Arguing semantics? Not really. There is a distinct difference.
Do you really believe that a group of Executives living in the Forge speak and work and play and think the same way as a group of Laborers living in Lonetrek? Or a group of Scientists confined to their labs and kept under close guard by the authorities? How about some frontiersmen paving the roads in Black Rise for the 30th time after another bombing?
Do you think Ishukone citizens feel the same way about Gallente as Kaalakiota citizens? Do you think the same types of food are enjoyed in Piekura (0.5 Lonetrek) as in Jita (1.0 Forge)? Do you think the same sorts of music are played in the homes of Chief Executives as in Technicians? Do they buy the same styles of clothing?
In a nation with trillions of people spread over thousands of planets, a homogeneous culture is unlikely at best, impossible at worst. They may all be Caldari, but they are not all the same or even alike, which is what homogeneous means.
The PF is written with generalities in mind. They do not write the articles to cater to every nuance of Caldari culture. They cannot dedicate the time towards writing about the above differences. They can only barely spare the time to write out the differences between varying major houses, megas, tribes, bloodlines, etc. There is simply too much macro-level detail to still be written for them to talk about what a Laborer in Piak would eat for lunch on a Sunday. With that understanding in mind, YOU as the reader must understand that certain assumptions must be made off a realistic basis - and one of those is the sheer scale of something the size of the State. I see more variation in the 6,000 population town I live in than I do in Caldari PF, because CCP simply can't write enough to accurately depict it.
You'll just have to use your imagination and not read every PF line and word so literally.