You're missing the point.
So it sounds like to me that in your dojo that students could sign up and test at their own discretion, whenever they were running tests. A student didn't have to wait to be told by their sensei that they could test. A student could test or not test if they wanted or didn't want to, when they were running tests of course. And it worked that way for all belts and ranks up to and including first degree black belt.
Any testing or promotion to Black Belt was separate than for underbelt ranks.
Let me ask you guys this.....is it an automatic that if a person trains in your dojo for X amount of years, they will eventually be promoted to Black Belt?
Let me ask any instructors.....do you ask your students, be it at the beginning of their journey or somewhere down the line, where they see themselves in say, five years or ten?