Slide do not follow blog pages !!

I see your video, but you can resolve this by using the assignement in the module options
you can then decide on which page you want to load the slideshow, this is exactly what you are asking

I have assigned only the home but when I click on the article it is no longer home it is the article that I launch from the home
see attached image

this is not a problem from Slideshow CK, you can try with another module, you will get exactly the same behavior because the assignment is managed by the Joomla core for each module

you must use the menu items to target your pages, if your articles are located in the category where the module is assigned, then it could be loaded on the pages of thoses articles
You must ask the joomla community about this probem of assignment, you can also try to use Advanced Modules Manager from Regular Labs, may that it can help you to do what you want here

I would like to help you more on this, but In can not do more than telling you what I know

thanks for your patience ... I try with the community

you're welcome, you can come back to me if you have other requests