No, no one wants to hear anyone tune up.
I'm setting up the action on a new bass. I like a small amount of fret buzz in my tone. I wanted to hear its effect on my Helix'ed tone while I dial in the string height, without having to go over to the Helix 5 feet away on the shelf and turn the tuner on an off every few seconds while I'm sitting at the workbench.
It's also been handy MANY times on stage to have a tuner running on a pedalboard, for those moments when you start thinking "am I out of tune on this string?". Even more with an old analog synth on stage. Sometimes stage sound isn't great and the objective measurement can help you know where you're at. Similarly, it's also useful when you're recording. Just leave the tuner running so that you can tune whenever you need to, without having to lollipop around with a tuner between takes while you're focusing on the performative job at hand. Consider it a pitch meter and you'll start to get it.