My brother and I tried that way back in 1963. We made our own 1/2 shim with landing board and placed it between the brood chambers and supers.
1. Bees abandoned the lower entrance completely, so close it off.
2. Queen abandoned lower brood chamber completely, a queen excluder is necessary.
3. The bees eventually abandoned the lower brood chamber completely.
4. Mice, wax moths, and mold moved into the lower boxes and had to be treated as if they had been exposed to AFB.
5. Bottom board warped from excessive condensation collection, a screened bottom board is necesary.
6. The Hive swarmed 5 times that summer.
7. It was the only time I had a hive nearly succumb to nosema.
Overall, the brood that had been in the original brood chamber died of chillbrood and was abandoned by the bees. This experiment, although a failure, did illistrate the importance of proper ventilation in a hive. It appeared that the lower boxes became to cool and drafty for the bees so they moved up. The supers seemed to run too warm and I nearly lost the hive.
I like screened bottom boards and I like top entrances but I have found that any entrance placed between the bottom or top of the hive breeds its own set of problems--the hive will become riddled with illnesses. To that end I do not even use small holes or shims as additional entrances, although a very small entrance can add to ventilation needs if using the old standard hive configuration. SBB and Top entrances take care of all ventilation needs a hive requires.