It really does depend on your overall recipe. If you have a lot of ingredients that cause soap batter to heat quickly, then a lower temperature makes sense. But if all of your ingredients are slow to heat up, then a higher temperature makes sense.
Some teas, such as kombucha tea, do have sugars & even alcohol. Any alcoholic beverage used as water replacement naturally will heat up faster, particularly when first introduced to lye, but then again even when the cooled lye solution is added to the oils and they begin to interact. I have to use a very tall container & leave a lot of empty 'head-room' inside the container, to mix lye with kombucha tea or anything with alcohol for that very reason.
Even when pre-cooled, these beverages heat up fast when using them to make the lye solution. The same is true for any beverage that contains a lot of sugar.
Then when added to the oils, the batter heats up faster as well, so if I have a high Coconut Oil content (I don't usually, but now and then make soap with a higher CO content) then that batter will heat up even faster. I have had soap with a high CO content and no other heater-upper type additives, heat up so fast it began to crack on top (caused by build-up from higher heat inside the soap loaf trying to escape out the top of the loaf.) The solution to stop the cracking was to put the soap loaf onto an elevated rack to increase air-flow to all surfaces of the mold.
If any of my additives contains sugars or alcohol, then of course, that also contributes to faster & higher heat as the batter starts to react with the lye solution.