allowedPluginIds but for behaviors?

Currently object param in aces can have an optional allowedPluginIds property that filters the selection based on the plugin type?

Is there an equivalent to this that filters the list on object that have attached a specific behavior?

Like being able to pass in a behavior id and have the list only show objects that contain that specific behavior?

That's not currently supported, nor is it an architecture Construct was designed to facilitate. Behaviors aren't really meant to be used like that.