Here is my take, call it an educated guess.
Each vacuum secondary is opened by airflow across a hooded orifice or tube in the primaries. In progressive linkage, your carburetor's primaries are opening at different rates on each carb, but not having them exactly the same for the primaries is OK as it is controlled like a mechanical secondary, controllable by your foot.
I'd be concerned that in a non-balanced progressive setup, you could have airflow change in carb #2 as the secondaries opened significantly in carb #1 and delay or even oscillate the second carb. I would expect better drivability if the secondaries came in balanced between the two by the tube in that case.
Can't say I have tried running without them though
In a 1:1 setup, the tube certainly won't hurt, but the primaries should be opening at a much more similar rate, so same airflow change pulling on the diaphragm, assuming you aren't using linkage that uses the different pivot points of a factory design, so the difference should be much less. That would apply to yours, and also to Edel cross rams and Mopar cross rams.