Given a unimodal map, the recurrent critical point $c$ is reluctantly recurrent if there exists a $\delta > 0$ such that for every $\ell\in \mathbb{N}$ there is a backward orbit $\overline{x} = (x_{-\ell},\ldots, x_{-2},x_{-1},x)$ in $\omega(c)$ such that $B(x,\delta)$ has a monotonic pull-back along $\overline{x}$; otherwise we say that $c$ persistently recurrent. Given a unimodal map $f$ with an infinite kneading sequence, it is known that the collection of endpoints for the inverse limit space $\varprojlim {[c_2,c_1],f }$ is precisely the collection of folding points if and only if $c$ is persistently recurrent. We revisit this known result and also show that when $c$ is infinitely recurrent and longbranched, then it is not possible for $c$ to be persistently recurrent.