I saw that video a couple-three months ago and was intrigued - but I haven't had occasion to try it yet. Normally, I'll take the entire horn apart and submerge everything in the bathtub (laying first a towel in the bottom) except for the valve caps, finger buttons, and corks, keeping track of those alignment corks and which valve they came from. Run some tepid water (not hot) in the tub, along with some Dawn and let the whole thing soak for a couple hours. Then, I'll use the snake, toothbrush, and whatever implements I have to get the crud out. Then, to rinse, I'll take the horn body outside and use a garden hose with faucet for a little force and run the water stream everywhere I can get it.
There is a little leg that runs from the 4th valve up to the 3rd valve casing that can and does get cruddy. It takes some effort, but running a snake up that leg gets the crud out.
U.S. Army, Retired (built mid-1950s)
Adams E2 Euph (built 2017)
Boosey & Co. Imperial Euph (built 1941)
Edwards B454 Bass Trombone (built 2012)
Boosey & Hawkes Imperial Eb tuba (built 1958)
Kanstul 33-T lBBb tuba (built 2010)