I wouldnt reccomend a PC Mode for console. On my TV it disables all the settings and accepts pure hdmi signal without processing but then I even loose ability to adjust colors etc as on PC you can change all that within operating system settings. I calibrated my TV the best I could using picture perfect software and just disabled all the other crap. My 4k has 40ms input lag and seems correct when i compare it to mine 1080p display with 32ms side by side.
The most important thing in any TV for gaming of any kind is to DISABLE all the image processing features to reduce input lag and other stuff that can mess up picture. You mention that your TV has Game Mode, its very possible that turning it ON TV will automatically choose the best settings but its not always the case. What should you DISABLE? I dont know your set up but it’s usually things like: dynamic contrast, dynamig brightnes, colour enhancement, motion improving features called differently by each manufacturer for example in my tv its called Motion Plus and i can set it to off, low, medium and high, you want that off etc. Its not a rocket science, usually instruction manual explain features so you know if you want to keep it or turn it off.
Mode Tested: PAL
Tested With: PlayStation SCPH-5552
TV Model Tested: 50″ and 43″ Philips PUS6262
Passthrough: Y
Linex2: Y
Linex3: Y
Linex4: Y
Linex5: Y (Mode changed to 1600×1200)
Notes: All the line modes I tested with my TV worked fine. Some of them had bit of scaling issues out of the box but TV is able to change aspect ratio and all I had to do is change Picture Format to either Fit to screen or Original. Worth to mention that I wanted to achieve original 4:3 format not “stretched” picture and it indeed worked fine. Im very happy with this product, input lag is no existent. Obviously I turned off all the fancy enhancing modes in the TV as TV is only for gaming.
Passtrough:

Linex2:

Linex3:

Linex4:

Linex5:

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