I am not sure whether this is true for all 50 states so neither for the state of yours (you have not mentioned it) but generally it is well understandable (and doable, for the states where this works).
Wrong. You were asked for the exact link.︀
Do not expect bank monkeys to search on their own initiative.
I do not understand it︃ this way. They did not say anything like this (and they do not need it).︄
BTW, they did not mention UBO but shareholder.
Exactly. If the registry of your state does not provide the direct link, this can︇ work well. They might also wonder about your Articles of Incorporation (Articles of Association, Operating︈ Agreement). (Notarized and apostilled of course.) They are not obligatory in all states but it︉ is always worth having it.
Bottom line: Yes, in the named documents the company's director︊ and shareholders have to be quoted. Forget about anonymity of US LLCs; if the anonymity︋ is your goal, you are walking on a wrong path.
Not apostillable? Are you sure? For what reason? In general, any︎ document that can be notarized should be possible being apostilled, an apostille is nothing more️ than the internationally acknowledged validation that the person who notarized a document had the power to do it in the relevant country, simply said...
I can confirm I witnessed the onboarding a new customer with Zen really a few months ago (a US LLC, BTW).