This is not how I perform at all nor most of the live acts i know that use a sampler. I use a combination of synths and samplers live and have control over the full arrangement and every individual sound as much as I want. You have a vague idea of what a sampler is and how people are using them. That view is completely incorrect though 
You’re talking about using full stems, not samples. A sample can be a single drum hit that you can manipulate just like a kick on a drum machine and actually in many more ways than most drum machines. A sample can be a cat’s meow, a door slam, a lawnmower starting up, a single hihat. And all this can be sequenced just as you would on a drum machine and manipulated live with just as many or more parameters, live.
A sampler is not just a backing track player or stem player. A sampler can even contain a single cycle waveform that you loop to create an oscillator that you then can influence with the same tools you’d find on a subtractive synth.
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