After writing the comment I thought about it some more, and realized when asking myself the question ”what letter comes after R?”, I didn’t immediately know the answer, but I heard ”MNOPQRS” in my head which gave me the answer. So I feel like I know it because I know the rhythm and sound of saying those letters in sequence.
Now, about alphabet: again, I think it's only me, but when I try to recall it backwards, I can't do that easily. I mean, I can recall it backwards, but I need more time to do that. It's harder. I'm not sure if it's because A links to B, B to C, then C to D and not backwards, or maybe just because in school you learn alphabet from A to Z and not from Z to a - so you're kind of trained to recall it A-->Z way - but it's certainly harder for me.
At the end of the day, though, I think that everyone thinks differently. Everyone is having different internal representations for concepts (such as alphabet), so it’s not surprising that this effect may work differently for different people, or not work at all.