
See the weird circular light spots on the big satellite dish?
The smaller ones do not show the effect, but they use the same model and the same skin. The only difference is that the big one is scaled by a factor of 1.4.
It doesn't matter if I scale the actor in ZScript (or DECORATE), or MODELDEF. When it is scaled, the circles appear. When I set the scale to 1.0, the effect goes away.
I have fixed it by making a copy of the model and scaling it up so that the MD3 is is now the same size as one scaled by 1.4 in game. That has made the effect go away on the big version too.

So, I have fixed the problem, but I wouldn't mind knowing why it happened in the first place.