Given a unimodal map, the recurrent critical point $c$ is said to be reluctantly recurrent if there exists a $\delta > 0$ such that for every $\ell\in \mathbb{N}$ there is a backward orbit $\mathbf{x} = (x_{-\ell},\cdots x_{-2},x_{-1},x_0)$ in $\omega(c)$ such that $B(x_0,\delta)$ has a monotonic pull-back along $\mathbf{x}$; otherwise we say $c$ is 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, it is not possible for $c$ to be persistently recurrent. This is joint work with Jernej Činč.