They have a specific name for the book "select quotations of Mao Zedong". They just don't use the term xiaohongshu. The meaning itself could be translated as "little red book" but the cultural idea behind the phrase of "little red book" doesn't exist in the same way.

This is what I gathered from conversation with them about it. I may have misunderstood them but they're not an apolitical person like many Chinese people and they still didn't understand in such a way. They'd definitely see that connection if it was one that existed I mean.