I accept the chart as valid, and the critical examination of it might prove more rewarding to a historian...
Here for example are zodiacal, planetary and elemental attributions Etteilla makes himself (with corresponding TdM cards and Hebrew letters):
1.IDEAL V.POPE [Aries - He]
2.ENLIGHTENMENT XIX.SUN [Taurus - Vau] (Fire - Shin)
3.DISCUSSION XVIII.MOON [Gemini-Zain] (Water - Mem)
4.REVELATION XVII.STAR [Cancer-Cheth] (Air - Alef)
5.VOYAGE XXI.WORLD [Leo-Teth] (Earth)
6.SECRETS III.EMPRESS [Virgo - Yod]
7.SUPPORT IV.EMPEROR [Libra-Lamed]
8.TENACITY III.POPESSE [Scorpio-Nun]
9.JUSTICE VIII.JUSTICE [Sagittarius-Samekh]
10.TEMPERANCE XIV.TEMPERANCE [Capricorn-Ayin]
11.STRENGTH XI.STRENGTH [Aquarius-Tzaddi]
12.PRUDENCE XII.HANGED MAN [Pisces-Qof]
Ace Coins Ace Coins Sun Single*
Two Coins Two Coins Mercury Single
Three Coins Three Coins Venus Single
Four Coins Four Coins Moon Single
Five Coins Five Coins Mars Single
Six Coins Six Coins Jupiter Single
Seven Coins Seven Coins Saturn Single
How do these relate to the 'old alexandrian' AAN row? Are we to take them as 'blinds'? If so, what is the authority for any other attributions - The conjectures of Papus?
Other areas of confusion in the AAN chart:
1800 B.C for 1800 A.D (I have discussed the Gra with Christine before, she insists/persists along with Dr. Keizer (against all the facts) in referring to the Gra's as 'the oldest version' of the SY - so I suspect her dating here is intentional, linked to the legendary origins of the SY with Abraham - more an 'article of faith' than of history).
The Falconier follows the 'old alexandrian' if converted to TdM ordering, but might be worth adding a note that it changes the order of cards (it places the moon - la nuit- at the end. So the card numbers toward the end do not follow in sequence with hebrew lettering order (e.g., the 18th letter is attributed to the 22nd card).
The Curtiss's might be more accurately described as an English/American Theosophical tradition than a Spanish tradition (the order (same as the Gra) is first given in a lecture by Engish Theosophist Westcotte to the Theosophical Society and the Curtiss's were American Theosophists).
Crowley's elemental attributions (alef, mem, shin) have been replaced in the chart with the outer planets.
Kwaw
* Due to variations in planetary attributions, I have just used 'single' to refer to the seven planetary single letters.