yes they do work without a spaceport.
yeah, if you have large fleets you may need to have more than one resuply depot in a system, and or reserch resuply.
My Homeworld took 3 turns to resupply a single scout to full. Granted it has a long range (no weapons), but it seems to me to be a tad extreme for such limits in the Homeworld system. Does it make a difference to actually dock with the planet, or is just passing through enough?
Take a peek at your resupply depot facility; it generates 1000 supplies per turn.
You planet can store up a couple tens of thousands of supplies.
If you move a ship into the sector, the planet will give the ship whatever is available. In addition, the supply depot will remote distribute 500 points to ships elsewhere in the system.
If you are overburdening your homeworld's resupply depot, you may need to build more depots, or move your ships less.
Ah thanks for that 500 points per turn remotely means the big fleets have to dock...so then I suppose I can build a base near a Warp for docking resupply as well? This is a great addition to the game if so. It would also be great to just turn off supply hassles with a click for some games heh.