Yes, it is still alive. It seems to attract more interest as an sla/sls 3d printer card vs. lasershow card. Many companies and universities have bought these too but haven't contributed any code back to my knowledge (a little disappointing). Speaking of this, based on some CRAZY questions I've gotten they're definitely not using them for 3d printers or lasershows.
So... could this card be used with BeamConstruct software? I don't see a technical reason why not. A driver would need to be made for the specific software. How this is achieved will be determined by the software's output; regardless the bulk transfer vs isochronous transfer mechanisms of the LaserShark should be used.