You’re not really wrong, but I think you are missing a few things. If you can get your rocket on a ballistic trajectory with a height above the Kármán line (~100km), then going into LEO from there is just a matter of having enough fuel. Nobody doubts that Starship could carry enough fuel to do that.
They haven’t bothered doing that in testing yet, because they wouldn’t learn anything. Knowing how the heat shield survives reentry is far more important. The upper stage still hasn’t been able to come down in a safe, controlled manner yet. Test 4 managed to splash down, but the heat shield took a lot more damage than anybody is comfortable with (if you watch the videos of it, you’ll see why it was amazing it survived at all). This one was Test 5, and while the heat shield survived better, the upper stage blew up when it hit the water.
I thought it blew up because after tipping over the tanks ruptured - a normal result of a rocket tip-over. Am I mistaken?
It shouldn’t rupture a tank just because of a splashdown, no. Even if they’re able to chopstick catch the upper stage, or land it like Falcon 9’s boosters, a splashdown may be needed in emergencies.
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