This is nothing new. I've had such at Mr. J's in Rockford, Illinois on Kishwaukee.
There it was called a "hockey burger" comprised of a puck (burger) and stick (hot dog). I've also made same at home and at cook outs.
As I glanced through this thread, I was disappointed ground beef was not being injected into the center of a sausage maker/shaper/whatever.
THAT would be a perfect and true marriage of the two
If any American entrepreneur finds this and goes with it ... how about a 0.01% intellectual royalty, eh ?