
Benefits: It would give the Commander a unique (more unique) and effective sidearm. Sort of a privilege of command. This would also make the Commander a bit harder to confront directly, at least for T1 to T2 Aliens, due to the double damage burn/energy weapons deal, with the counter of the Commander only getting ten or so shots before having to recharge.
Details: Lore wise the Laser Pistol is a bit iffy. In the original story board Ripley was meant to fire a Laser pistol at the Alien near the final in the escape ship, only for the Laser to deflect off the Drone's skull. This was cut from the movie and due to the prevalence of ballistic weapons in Aliens it can be argued that laser weapons were written out of the Alien universe (for humans at least).
But we're not above minor changes to suit balance or gameplay, and aside from a differently spirited sidearm (not a bad thing mind you) I think a unique laser firearm for the commander is not only unique but also deals more default damage.
Just a thought.