The one thing I can say with absolute certainty is that the recharges of my beacons, shared or otherwise, is identical with and without this trait equipped. I have confirmed this by timing them with a stopwatch as well as the ingame CD countdown.
I would love a Connie, but come on! Like I have time to grind 1.5+ billion EC or the money to drop hundreds of dollars on the chance to get a single ship, no matter how cool it is. Preventing 99% of the player base from playing one of the most iconic core ships of the franchise just because you're blinded by greed is…