I don't think any of the Strawhats are going to fight the Admirals barred Luffy and Zoro.
Let's take a look at what Chinjao said:
From the very beginning the Admirals have always been the rivals of Emperors. Literal polar opposites of each other.
Remember that the current arc we are in and the subsequent mini-arcs will likely be the main focus for the Emperors. What happens when they are defeated? The worst gen pirates take over and then they become the new Emperors.
Therefore, if anything, the new Emperors will face the Admirals.
The war between the pirates and the entire marines + World Government entity will likely surpass anything we have seen so far. Yes, this even includes the war in Wano. Luckily for the pirates side, they have an ace up their sleeves. Luffy is REALLY good at befriending those who once hated his guts. So don't be surprised if we even see ex-Emperors helping out the pirate side.
In the end, we will see some Admirals defeating other Emperors and vice versa. Luffy's fight against Sakazuki is likely to favor the former while the rest of the Admiral vs. Emperor matches are 50/50 coin toss.