NEC is a lousy reference for effective grounding systems. Note that the quoted section refers ONLY to ground rods and not any other type of grounding. In previous versions of the Code, 25 ohms was more or less suggested but not even given as a specific target. The reality is that the grounding electrode resistance has more to do with it's use. With building structures although lightning systems are a separate issue (and required by Codes to be a separate ground plane), that's generally the highest duty that the grounding electrode will ever experience. Maintaining low voltage between Earth and the electrical system only requires that it be less than roughly 1/3 of the system capacitive impedance, or it acts more like it is ungrounded. With substations, IEEE 80 specifies generally 1 ohm or less. With residential/commercial installations usually the rule of thumb is 25 ohms or less.
But the interpretation given above is flat out backwards. What NEC 250.53 is saying is that if you've already achieved <25 ohms, then no additional ground rods (or plates, etc.) are needed but that if it's above 25 ohms, keep adding ground rods until it gets below that point. As it says, it's an EXCEPTION, not a RULE. Note though that this is not only an exception but if for instance the installation used a flat plate, then the rule would not apply and only one ground electrode would be necessary. So clearly the purpose here is to require measurement. In previous Code editions where the "25 ohm rule" was more of a suggestion, it was up to the jurisdiction to establish a cutoff.
As to expense and time, are you kidding me? The clamp on ground testers on the market, if used correctly, give you a reading in seconds. The old days of driving a couple ground rods and connecting 100 feet or so of wire (not that this isn't the most accurate, best method) are gone. There are issues with the clamp on testers to be sure (and price tag is one of them), but a trained operator can use them successfully in seconds. I don't see how this is "slower" than driving another ground rod, even if you have an electric vibrator to speed the process up.