Do You Need Core i9 for 4K Gaming? : i5 13400F vs i9 13900K

Games :
0:00 The Witcher 3
1:06 Spider-Man
2:04 Microsoft Flight Simulator
3:09 The Last of Us Part I
4:17 Hogwarts Legacy
5:11 Hitman 3
6:02 CYBERPUNK 2077
7:06 STAR WARS Jedi Survivor
8:01 Horizon Zero Dawn
8:57 Forza Horizon 5

System:
Windows 11
Core i9-13900K
Core i5 13400F
ASUS ROG Strix Z790-E Gaming
32Gb RAM DDR5 6000MHz
CPU Cooler – be quiet! Dark Rock Pro 4
GeForce RTX 4090 24GB
SSD – 2xSAMSUNG 970 EVO M.2 2280 1TB
Power Supply CORSAIR RM850i 850W