How to only render `PluginDocumentSettingPanel` if there are children

Question

I want to use the PluginDocumentSettingPanel similar to how the InspectorControls component works, where I can add my own controls from different parts of the application. But if there aren't any controls (meta fields, input controls, etc) for a certain post type for example, I'd like to not show the setting panel at all.

Here is what I have so far, but I'm not sure how to make it conditional based off if any of the slot fill's children will be rendered. In this example, a post type that supports "author" would show the settings panel, but a type that does not support it should not show the panel at all.

SitePostOptions.js

import { createSlotFill, withFilters } from '@wordpress/components'
import { PluginDocumentSettingPanel } from '@wordpress/edit-post'
import { registerPlugin } from '@wordpress/plugins'

const { Fill: SitePostOptions, Slot } = createSlotFill('SitePostOptions')

SitePostOptions.Slot = Slot

export { SitePostOptions }

registerPlugin('plugin-document-setting-panel-site-post-options', {
    render: withFilters('site.postOptions')(() => {
        return (
            <PluginDocumentSettingPanel name="site-post-options" title="Options">
                <SitePostOptions.Slot />
            </PluginDocumentSettingPanel>
        )
    }),
})

example.js

import { PanelRow } from '@wordpress/components'
import { createHigherOrderComponent } from '@wordpress/compose'
import { PostTypeSupportCheck } from '@wordpress/editor'
import { addFilter } from '@wordpress/hooks'
import { SitePostOptions } from './SitePostOptions.js'

addFilter('site.postOptions', 'site/post-options/example', createHigherOrderComponent((Block) => (props) => {
    return (
        <>
            <Block { ...props } />
            <PostTypeSupportCheck supportKeys="author">
                <SitePostOptions>
                    <PanelRow>
                        Example test
                    </PanelRow>
                </SitePostOptions>
            </PostTypeSupportCheck>
        </>
    )
}, 'withExample'))