  The Age of Incorrect Information (AoII) is studied within the context of
remote monitoring a Markov source using variable-length stop-feedback (VLSF)
coding. Leveraging recent results on the non-asymptotic channel coding rate, we
consider sources with small cardinality, where feedback is non-instantaneous as
the transmitted information and feedback message have comparable lengths. We
focus on the feedback sequence, i.e. the times of feedback transmissions, and
derive AoII-optimal and delay-optimal feedback sequences. Our results showcase
the impact of the feedback sequence on the AoII, revealing that a lower average
delay does not necessarily correspond to a lower average AoII. We discuss the
implications of our findings and suggest directions for coding scheme design.
