I don't trust my "seat of the pants" dyno much, since it's subject to the same influences as my eyes seeing a "brighter" or "better" image. When I did my AG strip, for example, I did indeed think that the image was brigher, but a test with the luxmeter said that it was not. Effectively zero gain in brightness. Maybe a couple of my 9 point measurements were higher, but a couple were lower, too, so it's all within margin of error. The colours looked better, too, but a photograph of the desktop before the AG strip (with the scratch visible) with my camera on the same settings as compared to an "after" pic, and if it weren't for the scratch, I'd never be able to tell which was which.
I do know what you mean though. Upgrade the exhaust system in the car, and boost pressure goes down, because the car is moving the same volume of air out of the intake with more ease. Therefore it's using more air to burn more fuel and making more power, but a lower pressure. (That happened to me when I installed my upgraded exhaust system too.)
Anyway, quick answer to the question, take a look at the comparison pics, and decide what the better CRI is worth in objective terms. I'd say that from a SUBJECTIVE standpoint, it's moot, and in OBJECTIVE terms, it's a "marginal" improvement.

(Yes, that was poking fun.) What I see when I look at those comparisons is that there are a couple of scenes that look better with one, and a couple of scenes that look better with the other, but neither one is clearly superior in all cases. Note also that your results may vary, depending on your particular LCD.