As in, the way that each Stand represents its user in some way.

See, it's bothered me for a while that he had the limit of being unable to interact with anything during his time erasure. Dio's time affecting window was only half as long, but it did still allow him to physically interact with no issues. Initially it feels like the tradeoff here is pretty straightforwards, Diavolo gets precog and a longer window in exchange for not being able to affect anything. No stand can be perfect, so it has to have lost something in exchange for this greater level of versatility.

However, I think that this is also a specific weakness of it. Imagine how much easier it would be if Diavolo could just punch through someone the way Dio can during stopped time. Wouldn't that just be easier for him all around? One would think, yet KC forces Diavolo into the role of an observer and a schemer, setting up advantageous positions or taking hidden opportunities to learn about an opponent but still forcing him to interact with them to actually accomplish anything, opening up a window of risk. For instance, he couldn't simply take the Arrow back during his ability as he couldn't physically touch it. For him to have a chance to take it, he has to be present with the slimmest of chances for something unforeseen to happen and it to slip from his grasp again.

The precog half is pretty straightforwards, Diavolo tries to plan ahead for every eventuality and this just makes that literal. It's the second half I'm more interested in here, where KC's abilities manifest as means of Diavolo hiding from the world. It allows him to hide evidence of the past, to hide truth in the present, but more than anything else it allows him to hide himself. This is why he has an ability so broken as time erasure, yet cannot affect anything while using it. He has hidden himself from the world so thoroughly that he has removed himself from reality and the chain of cause to effect, only able to observe but not interact. For 10 seconds he gets to live his dream of the ultimate ghost, a non-existence in the world, but it comes at the cost of being a part of the world in a direct sense. By doing this he has put himself into a place where a single slip up in a fight could and eventually did mean his death(s) in quite fittingly the same manner as a crime lord has to carefully hide their enterprise to prevent a single crack bringing the full weight of the law down.

This is, a little further extended, why Golden Wind Requiem is primed to counter him. It also bends reality, but while Diavolo endeavors to remove himself from it Giorno's life giving ability represents the essence of it. GWR is able to reach out into the void of Diavolo's non-existence and drag him kicking and screaming back into reality over and over again because no one can hide from life forever. It brings to life every bad ending that Diavolo ever tried to avoid, from getting run over in a freak accident to dying in a risky surgery. Life finally catches up to the man who ran from it.