Suffering is something that is evolved or otherwise optimised to be triggered on receipt of a specific stimulus. That is what makes the stimulus “bad”. The very concept of “bad” doesn’t exist without suffering. They are the same thing.
For example, are Antarctic fish and other animals always in constant pain due to the cold because humans would be in that environment? Is cold is some objective source of suffering? No. They’re not in pain when it’s cold, they in fact need it to be cold, they evolved that way. To them cold that is “bad” to us simply isn’t “bad” at all.