I have done multiple tests within HEC-RAS 5.0.3 and one thing is consistent.
Stage BC’s do not work.
If the outfall of your hydraulic model needs to utilize a BC line that acts as the final outlet; do not use a stage BC line.
You can test this with any surface by just drawing a small 2D mesh with any number of cells, adding and input hydrograph at the top of the grid and a stage BC line at the downstream end. This stage can be tested for multiple elevations but none will work.
Visually it will seem like nothing is fairly wrong; but check your mass balance and you will immediately see a great discrepancy.