https://engineoil.api.org/Directory/EolcsResultsDetail?accountId=-1&companyId=10148&resultsUrl=%2FDirectory%2FEolcsResults%3FaccountId%3D-1%26brandName%3Dmotorcraft%26viscosities%3D15W-40
Obviously, depending upon when the bottle you have in the photos was produced, it may or may not be "CJ-4" vintage.
But my point, if you see the link above, is that the some CURRENT Ford approved licensed MC oils are indeed CK-4 licensed. The EOLCS shows both CJ-4 and also CK-4 lubes. Those licenses are current for the five products of HDEO Ford has submitted and were API approved. That does not mean Ford is still purchasing the CJ-4 product for aftermarket sale, or even factory fill; it only means the license has not expired for those older-spec specific products.
To simplify Ford's very contorted statements over the last year, I can boil it down this way:
1) ANY CJ-4 is OK to use in a Ford diesel
2) ANY CK-4 is OK to use, as long as it meets Ford's spec which requires phos >1000pppm (there are many products to choose from that both meet Ford's spec and are also CK-4 licensed; see the Motorcraft fluids link:
https://www.fcsdchemicalsandlubricants.com/main/additionalinfo/dieseloilsWSSM2C171F1.pdf) If you look closely at the list, there are many 10w-30 and 15w-40 products on Ford's approved list that have "CK-4" right in their product name! So to believe that Ford does not approve some CK-4 products is totally wrong; hence my statement to jeepman about a "bad assumption".
So depending on where/when you got the bottles, it may have been an "older but still current" CJ-4 or a "newer and still current" CK-4. It is an incorrect assumption to make that all Ford products are CJ-4; that is totally wrong. There is no doubt that Ford offers licensed CK-4 diesel products. Whether that's what in your bottle I cannot tell you; it would depend upon what time period it was produced.
The overall view would be thus:
Any CJ-4 is going to be OK for use in a Ford diesel.
Any CK-4 that is also on Ford's licensed list is going to be OK in a PowerStroke.
Any CK-4 that is not on Ford's licensed list is not approved by Ford for use in their diesels.
So if you have a jug of MC branded lube, it may be "CJ-4" or "CK-4". This is a marketing strategy by Ford. They don't put the API rating on the bottle, but they prominently post their "Meets Ford WSS-M2C171-F1" right there for you to see. That makes folks who are "unsure" about what to use, feel assured by using the MC brand. But that does NOT mean that only the MC brand is approved by Ford, or even that it's "only" CJ-4.
I will be curious, as a side note, to see the spec on the "new" F150 v-6 3.0L diesel lube application ... as the engine's origin was European, will it have a "newer" Euro spec, or an API one? Will be interesting to see where it plays out.