I have two boats with these things, one running dual start batteries and dual AGM house batteries and granted in a different rig it may behave differently, but mine running from the alternator of a DF250 Suzuki OB.
I have observed the VSR's indicator and it doesn't seem to send charge to all batteries as soon as the engine has started. It is sometime later I assumed dependent on the state of discharge of the start batteries. I could be mistaken though or perhaps my VSR is faulty.
I will refrain from much more comment until I check it out again.
To be honest I have never studied the things, I just made assumptions on what they do based on basic electrical theory.
They may in fact parallel as soon as the engines alternator is running, I just thought there was some delay in that happening.
I will check out both systems I have and report back what I find.