Nah he wont. I dont see any way how King can overcome Katakuris FS.
And i am pretty sure, you wouldnt claim this, when King wouldnt have fought Zoro, but someone else instead. Even if the rest of the fight would be identical.
I have said it 10 times now in this thread I won't place King as high as I do if it wasn't for his feats.
If King had even half the feats that he has right now that he has right now and he faced sanji I would place him above Katakuri.
King has many means of countering Future Sight. Go reread Luffy vs Katakuri fight you would see Katakuris mobility is subpar at best, he hasn't shown ability to dodge any big attack.
Everytime Luffy used G3 against him he had to block it. Tempuradon has 5 KM range and it moves at lightening fast speed, Kata ain't dodging that and one of them will kill him
That final magma attack looks bigger than G3 and is basically magma and Zoro needed biggest conqueorrs Haki we have seen in the series to block it. Kata ain't blocking thst and if that lands Katakiri is burned too.
Zoro can make Onigashima sized CoA barriers we saw him do it against Hakai and he used that to survive King's explosion Katakuri doesn't have that. If that explosion lands Katakuri dies too.
King has so many ways to beat Katakuri.
He can even attack him with pure speed, he seems to move at snakeman speeds when fire runs out.
King is in his casual state comparable to Marco who can react to Kizaru, and he's far above that when fire is not lit up.
Katakuri on the other hand objectively has no means of damaging King