The examples you have posted do not contradict what the author is saying. A feedback cycle is something like: a quantity A at time t1 given by A(t1) influences

The examples you have posted do not contradict what the author is saying. A feedback cycle is something like: a quantity A at time t1 given by A(t1) influences another quantity B(t2) which in turn influences A(t3). Here t3 > t2 > t1. We would run into causality issues if t3 = t1, but that doesn’t happen.