I have my Series X running to the Ripsaw HD, and then the Ripsaw running to my monitor.
Using OBS Studio
CPU: AMD Ryzen 7 5800X
RAM: 16 GB Corsair Vengeance LPX DD4
GPU: Radeon RX 5700 XT
MOBO: Gigabyte X570 AORUS Elite
Main Monitor: ASUS VG32VQ1B
It did this on two separate games. Within the Xbox I tried using the 4K UHD and the 1080p resolutions, and within OBS Studio, I tried both the "Device Default" and "1080p and 60 FPS" for the Resolution/FPS Type.
If you need more information, please let me know.