Do Spaceyard Ships cooperate?

Nope. Not possible.
you can only speed up the process with 'System Robotoid Facilities' for your space based stuff.

~Myrath

Robotoid Factories do not modify the construction rates in stock or most mods I'm aware of. Although they will in v1.15 of the Balance Mod.

Space Empires Depot | SE:V Balance Mod

The System Robotic Factory increases mineral, organics and radioactive production; it does NOTHING for construction rate.

The only way to increase planet construction is a ship yard. Only increasing the ship yard level will increase the construction rate (from a facility point of view)

Some mods add facilities that boost construction rates.

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"Good morning, Pooh Bear," said Eeyore gloomily. "If it /is/ a good morning," he said. "Which I doubt," said he.

I can't wait for 1.15 of the Balance Mod , thanks Kwok, you've breathed new life into the game for me .

Yep, Aaron should be paying the Captain, IMO.

meh, just build 10-20 orbital space yards.. this will build you an army in no time at all.

Repairs do stack i think.

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Without ammo, nice guns are just sophisticated clubs.

What you can do is build the cheapest (to build) hull possible for the type of ship you want. Then do an upgrade with muliple repair ships available. No cooperation on building but for repairs everyone can join in.

"Don't Panic"

Retroseries are the fastest and, at the same time, most expensive ways of getting a fleet. You start with a basic model and then have a second version of that ship with more things added (upto the limit of resource value) and then a third version adding more things etc. As long as you have the resources (it IS quite expensive) and the repair points necessary on hand you can have a modernized force available on short notice.

but you gota watch the 50% of original ship cost for up grades.... (Unless you change it...)