That method in turn is used for example in juce_audio_plugin_client_VST3.cpp :
if (pluginInstance->isSuspended())
{
buffer.clear();
}
else
The AudioProcessorGraph does not for some reason implement suspending the whole graph, but it does do a similar thing to the VST3 client for each hosted AudioProcessor.
What you should probably do in your top level plugin code is to implement the suspending yourself. Iterate through each graph node and call suspendProcessing of the node’s AudioProcessor as needed.
I changed my answer because it occurred to me it’s probably a good idea to suspend each processor separately instead of just skipping processing the whole graph. If the hosted plugins are not individually suspended, they may end up keeping to process things in the background anyway, even if their processBlock (or equivalent) is not called.