Conditional hiding of tt_content div for plugin in Frontend

Question

I am using TYPO3 8 and fluid_styled_content.

In am developing an extension with the following requirements: If specific conditions are met (depending on URL query parameter) nothing should be displayed for the plugin in the Frontend. In this case, the fluid output of the plugin will be empty (depending on a variable that is set in the Controller). But TYPO3 still - by default - renders a wrapping div and the header.

So, essentially, what I get is something like:

<div id="c217" class="...">
  <header>
    <h2 class="...">Header</h2>
  </header>
  <p> <!-- plugin output here is empty -- > </p>
</div>

How do I (dynamically) prevent that?

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This has been asked before, but the solutions I found will not work with fluid_styled_content: