Sorry for the slow answer, I need to turn on notifications via mail.
You have a really dark video and modern compression via H.264/265 tends to sacrifice data in low lit parts of the image. I've not experienced in compressing game footage (I'm professionally working with realworld camera footage and animated graphics). Maybe NVENC is bad for this type of footage. Have you tried using normal CPU x264 with Voukoder or outside Premiere Pro with Handbrake and 'slower' settings?
I know, if you take time to compress a video, it will get better or smaller, depending on your preference. NVENC has a more restricted type of functions and x264 (CPU encoding) can use much more functions to compress the videofiles.