The point is the border doesn't exist in the first place. You created the border with the vocabulary. The concept itself is not intrinsic to reality. It was created. You came up with the word white and you made an arbitrary border. Whether that border is fuzzy or not is defined by you. It's made up.

We have a gradient. That's all that exists. You came in here and decided to arbitrarily call a section white and another section black. You made up the concepts of black and white. But those concepts are arbitrary. So it's pointless to argue about the border. Does it matter where the border is? Does it matter if the border is fuzzy? No. You'd be just arguing about pointless vocabulary and arbitrary definitions of the word black and white. The argument is not deep or meaningful it is simply a debate about English semantics.

Same with consciousness. We have a gradient for intelligence and awareness from something really stupid to something really intelligent. Does it really matter where we demarcate where something is conscious? and where it is not? Likely no, because the demarcation is arbitrary.

It's illusive but when people debate about consciousness. Oftentimes it could be that they are just debating about Vocabulary. Consciousness could be some word that's just poorly defined; it doesn't make sense to do a deep analysis on an arbitrary vocabulary word.