They've pretty clearly demonstrated the ability to get to orbit but have, quite reasonably, not actually put the thing into orbit. Given the size of the rocket they've been needing to demonstrate things like the relight for control after achieving orbit and have prioritized other issues like figuring out reentry.

So yes, you are literally correct in that they haven't put one in orbit, but it's more out of caution than capability. What they've only demonstrated in the most recent tests is that they have good reason to believe to believe that they can deorbit in a controlled fashion. But... now they've upgraded everything: raptor 3, booster v3, starship v3. Those need to prove out those capabilities again.

So I wouldn't be surprised if they continue the suborbital program for the next 3 or 4 tests. Given all the redesign, they aren't exactly at the beginning, but they have to show that they haven't broken what they previously fixed.