It’s not a working memory. The conscious activity (burst-firing) is sustained for as long as the stimulus is sustained, but once the stimulus stops the activity should also stop.
Now interestingly, if the stimulus moves then the activity should move with it.
This possible because the conscious activity is visible to the entire cortex.
I have a prototype of this effect in action: A Model of Apical Dendrites
Stanislas Dehaene’s 2011 paper does have a neuron-level model.
I’m putting forward my neuron-level model.
But I haven’t read & understood your article well enough the say?