What the second hand in okuri-eri-jime does is securing the shoulder, even if it does so holding the lapel. That is why jigoku-jime is considered okuri-eri: one limb is securing the shoulder, one hand is closing around the neck.
Since clock choke (or koshi-jime) does the same, it has to be considered a variant of okuri-eri-jime.
Regarding bow-and-arrow, it's the same: since the shoulder is the fixed counter-point, it is okuri-eri-jime.
Kata-te-jime is without active fixation, it can basically only be performed against the ground, from above, or against a passive part of the body behind uke's neck.
Official classifications are hard to find, therefore this is derived purely from the underlying principles of the chokes as demonstrated in katame-no-kata.