I think they have not been designed to be functional, but purely for looks. They weigh 1.6kg (or whatever that is in pounds) which I think is enough to rule them out for most people
1.6kg is about 3.5 pounds. But for anything but the steepest climbs, more important than wheel weight is wind resistance, and Aerospokes shine there. Aerospokes have set a lot of world records in track racing where speed and acceleration are everything. The myth of wheel weight has been soundly disproven. World Record Holder Marko Baloh (UMCA, 12 hour time trial, 281.32 miles; Fastest 200 miles, 8 hours, 17 min. avg. speed, 24.1 mph) writes, “Aerospoke wheelset is the fastest wheelset I've ever used. Simply perfect for record attempts that require high speeds." I don't have any Aerospokes, nor do I have any connection to the company, but I do find them interesting. If money were no object, I think the only thing that would keep me from using them is the strong crosswinds I often ride in.
I'm not sure there's any justification for them for a big rider with either a trailer or panniers though. Their aerodynamic advantage would be too insignificant in that situation.
I would check with the manufacturer and see if they have a weight limit; but I know there are tandem Aerospoke wheels, so obviously they know how to do it.
The 19mm rim width doesn't accomodate wide 30c or wider tires easily with heavy riders. One of our riders experience side wall rim cuts many times while on TransAmerican because of excessive weight on a narrow rim.
A lot of tandem teams are on 23mm tires and they do fine (using 140psi). It makes for a rather harsh ride though. I don't know what their rim widths are. I think 25-28mm is my tire-width preference for our tandem. We have 32's on it at the moment and I don't like the feel, since there's too much side-to-side flex.