Reading the description of your original post... I'm kinda' wondering if there is anything wrong at all. Without knowing a little more of what is going on... there is a chance that you actually don't have a problem.
You talk of it free flowing, only at the beginning of the dive... and then not doing it on some other dives, but then again at the beginning of another. Normally, seats don't "heal" themselves, so I'm wondering is there a chance this is just the common mistake where when the reg is placed into the water diaphragm side down, and mouthpiece up, the pressure differential is depressing the purge and making it free flow. If you totally submerge the reg and fill it with water, does it stop?
Also those round ball octo holders, as they hold air inside, have a tendency to make octos free flow - again due to the pressure differential.
Not possible to know without a bit more info - just wanted to point out that there is a chance it is just how it is held at the beginning of a dive that might cause a problem like you outlined.
If it continues to free flow even after it is totally submerged, then probably a second seat adjustment, since as pointed out, the primary would probably be free flowing as well if it was an IP problem.