In general generics are bio-equivalent to the name brands. There can be some differences in the inactive ingredients. I have not heard these complaints about this with generic Latisse in my own practice. If you are concerned you should ask your doctor for a prescription for name brand...
Using Latisse with ocular rosacea will not cause any serious adverse events but will likely worsen your rosacea and dry eye disease. I reported on a patient many years ago that developed meibomian gland dysfunction only while using Latisse. Signs and symtoms resolved when she discontinued...