why don't you now show us the same shot that is correctly exposed at base ISO ?
Because I didn't take that shot. I thought it would just complicate matters. As you can see there has been quite a lot of discussion as it is. I'm glad I didn't post a third shot!
you know why you didn't post one ? because this whole discussion would be a load crap

because I just shot my own experiment with 3 images and guess which one had the lowest noise ?
Someone who fails to see the nature of crap often steps in it. Congratulations.
Naturally, if one is able to achieve ETTR (maximal exposure at base ISO just shy of desired clipping), one will have achieved the best results possible. The purpose, however, of exploiting ISO-invariance deals with shooting situations where, for whatever reason, ETTR is not possible. When this situation occurs, the question arises, once has maximized exposure subject to shooting constraints, whether it is better to enact the necessary additional brightening using in-camera ISO or during raw processing. The ISO-behavior of one's camera answers this question.
Thus there was no need for Tom to include an ETTR shot in his test, because the value of ISO-invariance is necessarily at an exposure less than ETTR. The ETTR exposure is an irrelevant comparison.