Couple reasons:
#1, I assume that because Saint-14 died IN the infinite Forest, that's why we can bring him back. Because it's wonky with time and stuff. I even have a feeling there's gonna be a plot thread where Saint-14 can't leave the infinite forest because he's actually still dead, but being kept alive in the infinite forest through simulation.
#2, Cayde literally said in his will he didn't want to come back. Granted that was referring to him being rebooted, but he still said to leave him alone.
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Your opinion makes no sense since the cabal are using it to change the outcome of the red war which took place outside the forest as well
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That's actually a pretty fair point.
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Time Travelling Vex tech. Osiris built the Sundial on Mercury after he learnt of Saint-14’s death, so the machine is obviously piggybacking off the planet sized computing power.