I don't think Ken had any major influence, however one of the catch wrestling basic positions is the single leg ride. I'm not very familiar with the 10th planet system but I do know Johnny Buck who is very into it. Buck explained that in 10th planet they have their position called the truck which he says it's the same ideas and concepts that catch wrestlers use while doing their single leg ride. In traditional catchwrestling calfslicers were the most common leglock. Banana split is also a popular option since it can both pin and submit your opponent.
For those who don't know Johnny Buck is one of the most active competitiors that Billy Wicks produced. Buck made it as far as bellator in his MMA career. Wicks was one of the last active carnival wrestlers.
So the truck is probably the only influence that comes from Catchwrestling. I would also l like to add that Shamrock isn't a traditional catchwrestler but rather a shootwrestler. The shootwrestlers removed the pin and opened up for other styles. Shamrock never used the calfslicers. The only catchwrestling leglocks he used was the toe holds. When we talk about leglocks the most influential person is Ivan Gomes. Gomes was brought over to Japan and was the one who brought techniques like heel hooks and kneebars. Fujiwara who was Karl Gotchs best student is the one who give Gomes the credit to bringing those kind of leglocks in and showing him how to heelhook.
Catchwrestling leglocks looks very different from the modern day leglocks we see used in BJJ. Catchwrestlers never go to their back because of the pin, lots of these modern leglocks will put you on the back and risk a pin. Calfslicers, toe holds, standing achilles locks & single leg boston crabs are the kind of leglock techniques used that won't put you on your back. Heelhooks did exist in catchwrestling and was called ankle crank, however still a rare technique.
This summer there was a match between a catchwrestler and BJJ blackbelt, however the BJJ-blackbelt Chris Thompson is experienced in both styles. The catchwrestler had zero BJJ-experience. The match had a bit of controversial ending because Chris pinned himself and lost the match while he pulled of a heelhook submission. This match shows the difference between a catchwrestling approach to leglocks. Both of them goes for leglocks. The catchwrestlers goes for a belly down achilles lock avoiding the pin, Chris went for the heelhook pinning himself.
Here's the match for those interested:
And as mentioned long time ago Eddie and Rogan made fun of catchwrestling but those attacks were aimed at Tony Cecchine who provoked a ton of people with his way of marketing his DVDs. Eddie did actually have some contact with Billy Wicks, however they never met. I would guess that when we're talking about the truck I think Billy had more influence on it that Shamrock had since Shamrock weren't schooled in the traditional catchwrestling system. I also guess that Eddie's background in wrestling helped him explore the single leg ride and turning it into the truck position.