ShipComponentDefs.xml, states that it adds 12 base range, to the fleet. Note, it will be higher than that, as you hover over your range, and the tooltip on your ship's range will show modifiers, etc.
I was experimenting with other fleet based support modules, and their bonuses are not put into the ship's aggregate either. Its a pain I guess, with the bonus not even mentioned in the module's tooltip, let alone not being shown in the ship's stats. they probably didnt want to do this, to safely ensure that modules did not stack if multiple ships have them in the fleet.
correct about Range. fleet movement buffs are either stellar or slipstream accelerator. the modules are categorized in the list, to make it easier....but yeah, the exact values would be nice
Its not even in the techtree tooltips.
Feel free to open a ticket, surely not design intent to have to dig the info out of the XML files.