"You should always offer both breasts at every feed." It depends. In the early weeks when establishing supply, offering both sides ensures maximum stimulation. But once supply is established, it's fine to feed from one side per session (especially if baby is satisfied). Single-side feeding is actually a tool for managing oversupply. There's no rule that says baby must eat from both sides every time.
"Uneven supply means something is wrong." No. Kent et al. (2006) documented significant variation in production between breasts. In their study, the difference between left and right breast production was common and didn't correlate with feeding problems. Asymmetry is the norm, not the exception.
"Baby refusing one side means there's something wrong with the milk." Possible but unlikely. Baby side preference is more often about positioning comfort, flow speed, or habit than milk quality. If one side is consistently refused, check for ear infection (one position may hurt), torticollis (baby can't turn comfortably), or flow differences between sides.