Aokiji has a certain baseline of speed that all allows them to compete with Kizaru. Every Admiral does.
From their entire position as Admirals, we can automatically conclude, that:
1.) All Admirals have the default stats as reaction, movement, attack and combat speed to keep up with each other. They all can use Rokushiki and are skilled Haki users, proficient CoO and ACoA/Ryuo.
2.) An extension of the 1st argument, they should be able to at least perceive Kizaru's basic light speed moves.
They should be able to handle Yata no Kagami, Ama no Murakumo and Yasakani no Magatami. Are they as fast as Kizaru? No, but their balanced stats as top tiers allow them to react and intercept most of his attacks.
3.) Then we distinguish between their best stats, in that case, it's Kizaru's speed.
I said, they can handle light speed but Kizaru can even accelerate his light speed, logically, it should go even beyond light speed as light speed is constant. Snake Man managed to handle Kizaru before but he didn't have an answer to Kizaru's accelerating attack. He got straight up blitzed.
4.) Kuzan would be blitzed from acceleration too, it's obvious af. However, unlike Snake Man, who is a pure brawler and can only rely on his stretching fists and arms, Kuzan is a freezing man who can instantly freeze everything around his surroundings. Kizaru's acceleration has a charging point -> enough time for Kuzan to prepare a huge ice wall to intercept Kizaru from blitzing the shit outta him.
Top tiers have some default stats but they also exceed in some stats which makes them special. With Kizaru, it's his defence and speed. In Kuzan's case, it's his AoE, AP and punching strength. In Fujitora's case, it's his AoE, CoO and swordsmanship. In Aramaki's case, it's AoE, CoA (Ig due to his black blade) and swordsmanship. In Akainu's case, we have to find out his other special skill aside of AoE and high penetrative AP. Would be interesting if Akainu is actually the all rounder among all admirals; highly fast, strong physique, great CoA, great CoO and ACoC or whatever.
It's asisine to believe Kuzan technically doesn't hold a candle to Kizaru. With this reasoning, we can conclude that nearly all top tiers cannot handle Kizaru's speed.