Question about removing and re-using bar end shifters

So I've had a gravel bike (Fuji Touring Disc) with bar-end shifters for about a year now. I'm considering upgrading the handlebars to something with a wider flare, and because of that I'll have to completely remove the bar-end shifters. I was planning on re-using and re-installing all the same components, which means I'll need to remove and replace the shifting cables too.

Will the cap on the shifting cables prevent it from going out and back into the housing? Or would I need to snip the caps off? Would I be better off just buying new cables?