Based on my experience, it's expected that the full siphon drain needs to be reduced via valve to create a full siphon and not make tons of noise- perfectly normal.
If you've closed the primary drain to test, the water would rise to/above the level of the second drain. It will continue to do so as the second drain now needs to take on the full flow of what the primary drain had taken on (although there may have been a slight trickle to your second pipe). I assume your drain pipes are both the same size? Also, what is the height of the second drain relative to your overflow? The water will rise, so you'll want to make sure the second drain can take on the full load before the water overflows the tank.
It's a good test that you're doing, but keep in mind that the primary drain won't always be fully blocked either. But good that you are testing this way.
I think answer the questions will help to troubleshoot your situation.