Hi,
Low-level design-wise, not engineer-level, I always put a voltage follower as a buffer between op amp stages that have restive networks at input that I believe will cause undesirable interaction, then for such designs I post schematics of here for queries, Klaus tells me half or all of the buffer stages are not necessary. But I think like you (seem to) - Rout and Rin forma divider that must distort thr input signal, even slightly, and maybe enough to be undesirable, depending on goal(s).
If you can be certain of Rout, then Rdiviver calculation shows degree of effect.