Dojo's right, rolling a check for a successful double attack still can be independent of a primary attack. You'd need to find parses from 2000 or so that showed the system only rolled a dual wield check after the primary.
I.e. it could be this:
... main hand swing check
... main hand double attack check
... offhand dual wield check
... offhand double attack check
but, if timer is independent eventually you are going to get those offhand swings coming in before the main hand swings in the parse, which is why you really need an actual parse over a FAQ statement like the one above.
The real fun part then is reading parses for riposte's. It's easiest with a 1hs/1hb setup so you can see crushes vs slashes, but what if it looks like this
... main hand slash!
... main hand slash!
... offhand crush!
... main hand slash!
... offhand crush!
That looks like you've just done two rounds of attacks and missed the offhand double attack, then the main hand double attack, and offhand double attack. When in reality you actually just riposted in the middle of your attack round.
... main hand slash!
... main hand slash! (double attack)
... offhand crush! (dual wield)
... main hand slash! (riposte)
... offhand crush! (double attack offhand)
Timestamps are pretty much a must at that point. Sadly, it looks like the steel warrior forums have been wiped of anything past 2004
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I do believe that a primary weapon will ALWAYS swing first when you hit attack, however from then on I believe the primary and offhand timer's are independent and which one will swing first after the initial round will depend on the specific weapon's delay.