Do not process analyses on server side

Are the graphs generated locally or pushed/viewed on the SonarQube?

No. It would be nice to be able to add images to issue messages. But, it’s not possible. See Add link and image to issue message

Maybe that’s enough to make the sensor run in SonarLint?

We’re not running SonarLint, just a standard analysis through sonar-scanner.
To fix my issue, I added a sensor that just checks a boolean parameter. If this parameter is set to true by the developer through command line, then analysis will just stop after graphs have been generated. Nothing will be sent to the SonarQube server. It’s maybe not the more elegant way but it works fine.