Of course, I may post to judge the quality of an idea, that's what discussion means. Shambles, you may think the best way to discuss is not to respond or only to respond nonsense but I don't think so. This particualr idea is in my eyes at best useless.
(1) The effect size is much to small to make any real difference under all the other much larger factors acting.
(2) Whether this factor has a causal influence or is only confounded with a causal factor is not know at all.
(3) Paying attention to this itsy bitsy effect by changing the order might even have an adverse effect for some pupils who never would have thought even once about alphabetical order.
(4) The problem of the name is not effectively addressed by reversing the order in 50 % of all cases. Always being either the first or the last also could be thought to influence the kids soul.

It is a non-issue if there ever was one.

An advice to stupid rule-bound bastards (a silly dictionary translation of the much nicer German 'Korinthenkacker' which verbatim means a person crapping currants) how to proceed if you are really bound to eliminate the screaming injustice:

The reverse order idea confines the pupil (or other persons) to just two possible places which is equally wrong. One has to have each time a new randomly determined order. No, wait. Not knowing when you will be called can stress you, so each class has to have a visual display of the new random order so that each pupil can knowingly control her stress reaction.

But even that dsoes not solve the problems encountered with names. My family name, for instance, is used about once per school hour in a normal German teachers talk, other than for instance Schicklgruber. I can't tell you how I have suffered in my school time that so often when dozing a bit during the teacher's talk hwearing my name made me startle though I was not meant.

We all should have the right to chose a family name we like and to change it as often as we like. So if you want to be called first you could call yourself aardvark.

Wolfgang