Not "correct when written", but "scaling as written". That means if you force the execution that scales linearly or quadratically, that's what you get all the time. If the row number increases, you know what will happen. You can monitor that ahead of time and plan for the increase.
On the other hand without the hints, you don't know when and how the plan will change without testing. At some random point postgres can decide to do something terribly stupid and at that point you get to figure out what happened and how to fix that in an emergency mode. Do you know how to adjust the right statistics? Do you need to change the indexes? Do you know how long that will take?