Keep in mind, that sending midi via gp relayer also has the same latency as sending audio
This is probably not relevant (but occasionally I get lucky), do you need to check the audio setup in both instances? Maybe one of them has a much larger sample buffer that you did not realize? (Feel free to ignore).
I did a test with your gig files and I do not get that huge delay of 770 Samples in using 128 samples buffer size in both instances.
That’s a configuration to avoid.
Fyi: To make sure that Windows doesn’t expose the interface to programs, you could disable the audio devices via settings - audio (or whatever it’s called). (Not via device manager: that disables the device on a lower level and ASIO will also not work then anymore).