The article refers to it as a "Lampert PUK04" - a search turned up this link: https://www.lampertusa.com/products/puk04-with-microscope-sm...
I suspect that it has since been superseded by the current PUK6 model (and previously the PUK 5, judging by search results)
Pulsed welding is super useful for filling and repair operations on thin sheet where you can "shoot" a tiny blob of filler wire into the joint/hole/gap and fill it in. Or perform small butt-seam welds without filler. I've worked with fiber and yag lasers and the welds are really clean and solid. You can even weld larger parts together with decent strength or tack fo larger welding operations. Even some of the electron beam welders there had a pulse welding mode.
"Won't fit in a laser cabinet" - You just need a better laser setup instead of a fixed optics machine. Buy a fiber laser, like an IPG QCW 450/4500 get a small D30 head, 125mm lens, coax nozzle with a camera tube (don't buy the camera from them as they just resell a Sentech for double the $) and build another station like your TIG setup but mount the laser head instead. You'll have one hell of a fiber welder. You might even be able to move work over from your TIG setup. They might offer a binocular setup for the head or have one fabricated if you don't want the camera/monitor setup.