Yes, they sure do. Both corkscrew plumes and wide plumes at the base are two of the easiest things to find in videos of missiles.
Delta 2 STSS Demo Rocket Launch - SpaceflightNews.net
A great example of corkscrewing of the plume begins about 1:25 into the video. The differences in plume thickness and consistency can clearly be seen later.
Wide plumes at the base look a lot wider when you are close enough to actually hear the rocket launch you are filming. Even then, and even in a rocket the size of a Delta 2, they aren't even close to as wide as the contrail in the Leyvas video (the earliest portions of which are actually over 100 miles away from LA). Nor does the trail of an actual missile look ANYTHING like what was filmed by Leyvas. Below is a picture of the missile from your video and a picture of what Leyvas filmed. Would someone please point out to me where the Leyvas video shows "corkscrewing"
The willful ignorance required to continue to argue that the contrail filmed by Leyvas was a missile launch is a testament to the kind of stubborness required to believe 99.9% of the conspiracies out there. But because it is kind of fascinating to watch it all play out, I'm going to feed the fire a bit. In a FR exclusive, I am going to reveal a test firing of what many conspiracy theorists believe was launched (probably by China) off the coast of California. Be sure to watch for the evident corkscrewing of this mystery missile. Nov 8 rocket launch solved
Yes. Neither did I see that in the LA jet contrail.