I think one of us may be misunderstanding exactly how the Shearwater GTR works.
Yes, if you head up your GTR should increase. But, I'm not sure if it's for the reason you think. Maybe that's because your post is unclear to me regarding exactly what you think, regarding your statement that I bolded.
To be clear, though, regarding how I believe it works:
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I agree with the GTR statement and your depth example. Perhaps the TTS is the info you are looking for. I think it takes into account all your required stops.
I agree with your GTR assesment in you para of the manual discussion on GTR.
Perhaps you can set the onboard psi 100 psi higher and treat teh GTR as ttime remaining to get to the safety stop instead of onboard.
I think we are both on the same page.