Yes it does, but it does less and less the higher you get. If you need more room to make adjustment, perhaps alter your gain staging after the BDDI so you can start with a lower level setting and work from there. What output signal level option do you have selected? Line or instrument level?
Just to show you what mine does at various levels, the chart below shows my BDDI v1 here using these settings:
View attachment 7464811
And here are the results with the level starting at 9:00, then brought to 12:00, 1:00, 2:00, 3:00, and max:
View attachment 7464812
As noted, if you're already operating at the top of that range, the best option may be to set up your gain so that it runs with a lower level to start, then you have more flexibility to move it up or down as needed.