Can I safely put my 130mm internal geared hub in a 126mm spaced aluminum frame by forcing it? What are the consequences? How would the IGH be "damaged" by this?

My IGH hub has a wheel laced and ready to use, but I would like to use this older, lugged aluminum frame I picked up cheap.

I have heard that steel frames can be "cold set" (i.e. bent), but that aluminum frames cannot. However, I do find that there is some leeway in stretching the aluminum rear stays, so I think I could force the new IGH hub into the (horizontal) dropouts. However, Sheldon Brown says that IGH hubs might damaged when you put them on a spacing with the wrong size.

I'm not sure if I would be effectively throwing away my IGH if I put it on this frame. Has anyone done such a thing? Does it affect the IGH?