Multistart threads are not typically used in high stress applications. The slightest errors in lead, geometry or index would preclude equal sharing of the load by each of the individual thread forms. I'm sure these concerns could be overcome, but why add another source of error in a high stress application when it isn't required? Frictional losses while tightening would be higher, leading to a lower tensile load being possible.
Thread stress area would be almost identical, I suppose.
The advantage of multi-start threads is simply a faster lead in a shallower form depth. This could certainly improve the stiffness, and consequently critical speed of a lead screw used for motion control. Luer components, I imagine, use the thread form because of its shallow radial depth requirements and quick connect/disconnect abilities.
There are others on this forum who are more knowledgeable than I and they may correct me on a point or two...