The BB(6) candidate machines seem to exhibit Collatz-like behavior, but in a form that asks about specific sequences rather than a question about all sequences. But the BB machines don't tend to ask about cycles, so a lot of relevant tools don't apply.

BB(6) machine is the same rules as this market:

The Weak Collatz Conjecture should be resolved to a similar standard of proof, whether positively or negatively.

n/a if both are generally agreed to be independent of ZFC.