Hot water dissolves it much quicker, giving the illusion that it dissolved more. It’s not actually saturated when you’re trying to stir it into cold tea, it just dissolves extremely slowly. If you were to saturate it while hot (which would take an insane amount of sugar), then yes, it would recrystalise. But in pracrice, you need to dissolve it while hot because the more energetic molecular motion in the solution dissolves the sugar faster, since the heat is causing more effective collisions. Saturation point and the change thereof is, contrary to the proposal above, not a factor here, since everything is happening well below that point even with the sweetest teas commercially available.
Hot water dissolves it much quicker, giving the illusion that it dissolved more. It’s not actually saturated when you’re trying to stir it into cold tea, it just dissolves extremely slowly. If you were to saturate it while hot (which would take an insane amount of sugar), then yes, it would recrystalise. But in pracrice, you need to dissolve it while hot because the more energetic molecular motion in the solution dissolves the sugar faster, since the heat is causing more effective collisions. Saturation point and the change thereof is, contrary to the proposal above, not a factor here, since everything is happening well below that point even with the sweetest teas commercially available.