David,
To paraphrase, I see nothing similar in the mechanics of Karate to Fuzhou White Crane.
Depends on the region & style of Crane “Soft” and “Hard” methods exsist.
Look to the writings of Lee Kong (The world’s most eminent Researcher/Historian on White Crane) in his massive treatise on the subject and you won’t see any connection or even mention of “Karate” as some sort of offshoot of White Crane. Original Crane had only 15 techniques and no forms until the influence of Zheng Si Chi … that much is recorded … so where is the Crane influence upon Karate?
Within the techniques. They can be utilized in a great manner of ways, different energies, force projection etc. Besides isn’t a good portion of this in the Bubishi, you know that Okinawan book. 
What you are mainly talking about is verbal history … Uechi-Ryu may well be based in part on some Crane (Not very much!) but remains largely a Tiger style offshoot … that no one can deny.
Goju-Ryu and Wuzhquan .. yes! Crane? … No. Wuzuquan is a five animals system and Crane doesn’t have the over-riding influence there. One of my guides is a Wuzuquan Stylist and quite famous at that.
Your guide needs to brush up on his history. Wuzuquan is very much Crane influenced, there is a Yang He branch based primarily on Crane, a Yongchun branch based primarily on crane etc…Wuzu is not 5 animal it is five (six) method art depending on the lineage: Luohan, Damo, Bai He, Da Sheng, Taizu & Mysterious Lady
Kata: Naihanchi, Neipai, Chinto, Neiseishi, Sanchin, Seisan with the exception of maybe Nepai and Sanchin those forms and the moves within could readily be connected to several other forms of Chinese Martial Arts … simply a matter of interpretation ( which is largely the oral myth stuff ) … even Sanchin is seen in a greatr many other Chinese arts and not just Crane! So I think that’s stretching things a fair bit.
I said that they have a base in White Crane I didn’t say that they were outright White Crane, things evolve as I stated below. I could easily employ Bai He mechanics and principles with any of these Kata and alter them completely to look like a Fuzhou or Fujian style of Crane. Does it make them so? No, but lends credence to the fact that they share a common ancestry.
Exactly so what is supposed to be an influence of some major proportion on Karate as has been expressed here and elsewhere is only likely to be a few “nuts and bolts” if that, certainly not the whole vehicle!
That’s pretty much what I was getting at only alluding to the fact that White Crane, like it or not, did play a role in the development of some aspects of Karate, if only in the mimicry of movement. I agree that the Fajin is not anywhere near the same.
In the end however and once all the cyber-dust has settled, you will hold your beliefs based largely on your background in Crane (Tibetan in origin) and I will do the same based upon my own (Fuzhou, Fujian & YongChun).
My background extents well beyond Several Tibetan Crane lineages, it also reaches into Hong Chuan Yongchun Quan, Yongchun Bai He Quan, Fuzhou He Quan and Okinawan Te as well as Fojia Quan