  We show that if an eventually positive, non-arithmetic, locally H\"older
continuous potential for a topologically mixing countable Markov shift with
(BIP) has an entropy gap at infinity, then one may apply the renewal theorem of
Kesseb\"ohmer and Kombrink to obtain counting and equidistribution results. We
apply these general results to obtain counting and equidistribution results for
cusped Hitchin representations, and more generally for cusped Anosov
representations of geometrically finite Fuchsian groups.
