I don't think that playing the Indians holds any special significance for us Reds fans, nor do I imagine they care too much. This "rivalry" seemed like a big deal a decade ago, and maybe part of this is due to the fact that both teams have struggled mightily in recent years, but I feel like this has run it's course.
Furthermore, no Reds fan I know hates the tribe, and vice versa. In fact, if I HAD to pick a favorite American League team (even though I hate the AL), I'd probably go with them. *shrugs*
How long will/should this continue?