That's the part that is being ignored or intentionally hidden. The reason Tesla used the launch setup they used is that the intent is to go somewhere else and then be able to launch and return. If you have to use a water cooled launchpad to safely take off from Earth, you can't then do that to come home from the moon, Mars etc because you can't guarantee you've got water for a water cooled launchpad.
The Booster was the one that tore up the launch pad. While the Starship has successfully taken off multiple times with no damage to the launch pad and no water used.
On the Moon/Mars/Elsewhere it would only be the Starship returning to earth. Plus the gravity on the Moon and Mars is a fraction of what it is on earth. So less power would be needed to get back into space.
And if you compare the Engines on both space craft you can see why the booster tore up the pad. 29 Raptor engines on the Booster vs 3 Raptor engines on the Starship. The Starship also has 3 larger Raptor Vacuum engines for use in space.
Booster Engines:
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Starship Engines:
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