I have a thread where I work through how bent-four works under Chinese rules. Basically, the bent-four is dead in ko, which means that if there are big enough, unremovable ko threats, it could actually live.
Another example is in the last post of that thread:
Under Japanese rules, if one player has two bent-four formations in separate areas, then they would (most likely, unless some other weird connected things are happening) both be dead groups. The life and death resolution phase of Japanese rules applies special ko rules that would essentially isolate each position and nullify any ko threats. See:
Two bent-fours in opposite colors could actually result in a seki (under both Japanese and Chinese rules):
Unfortunately, the website that I linked there seems to now be down, but basically, it showed how the position is a hanezeki-like oddity, where it behaves like a strange capturing race, with the person who starts it would lose.