I think it was @Dee who first brought it up, but I like it too. I would only use it if I saw swarm queen cells though, I have not done it preemptively in a hive without queen cells.
As far as a deep and medium versus double deep brood, I don’t see that there would be much difference in the bees’ ability to access the winter stores. What tends to happen is that the whole cluster gradually “drifts” up into the stores as needed. The only ‘big’ move to make, is crossing the gap between the layers of frames. Otherwise the cluster just gradually creeps to where the food is as needed.