Warpgate On Unclaimed Star

In a TB game my formal ally is on a warpgate star and headed to one of my warpgate stars. He needs to take the star so we can be in scan range to trade.

If i abandon the star before the turn jump…will he get the warpspeed bonus still? That is to say, if both stars have a warpgate, but one is abandoned/unclaimed – will he still travel 3x warpspeed?