But A would not be Eb. Do you think Tom Araya in Slayer just tunes to Drop D even though Kerry and Gary tune to Eb? Nope the A D G wouldn't be low enough
The only reason to tune any strings down at all would be if you want to play a note lower than low E standard (E-flat and under) and even then you only need to drop the 4th string. Technically speaking you don't really need to lower any of the other strings at all.
As the other 8,000 of us know Link, you're the exception, not the rule, and I dont care what Tom Araya does in the privacy of his own home, whoever he is