The opposite, if anything. The beam widths used for practical high bandwidth laser communication are extremely narrow. An alien civilization would have to (1) be in the exceedingly tiny fraction of the sky the beam covers, (2) have an unfathomably massive telescope with a correspondingly unfathomably tiny field of view capable of capturing enough photons to make a statistically significant detection, and (3) have that telescope pointed at the exact spot in their sky where the spacecraft is during an interval where it's transmitting. The odds are quite literally astronomical.