The relationship between refractive index and special relativity has always been problematic, and associated with strongly-presented arguments that don’t always seem to make sense.
The modern attitude seems to be to set aside Einstein’s multiple attempts at reconciling refractive index with SR, and to simply say that SR only claims validity in empty space and flat spacetime, and that if we have a transparent medium present (such as a moving glass block), then obviously the fact that the medium slows and drags light means that the surrounding lightmetric becomes distorted. Lightbeams skimming the block get deflected by Huygens principle, and the region’s metric is no longer flat.
When anyone tries to apply SR here, and fails, we are told that the failure is a case of "user error". The theory has been misapplied, and used outside its domain of applicability.
So here is a short list of some of the other things that special relativity apparently does not have to apply to:
At this point, we start to wonder whether the cameras with front-printed sensors should drag light too. After all, it would be perverse if the laws of physics came out differently depending on what make and model of camera we used to take our photographs. Or whether the observer was a mammal or a lobster.
If we want to derive a relativistic system that embraces stars and planets and polar-bears, we need a system that predicts identical results regardless of whether a glass block is moving relative to a housebrick, or a housebrick is moving relative to a glass block.
We cannot support two different systems ... either everything drags light, or nothing drags light.