But it doesn't necessarily mean that escalating your concern to these agencies would result into a "swift resolution". It might even delay it much further as there will certainly be procedures and processes and whatnot. Surely, they won't just call the concerned exchange and instruct them to settle so-and-so's issue right away.
So in all the best way to a resolution is to be patient with the their support and be as detailed as possible with whatever information they request. From this, since swift resolution is not guaranteed when reported to a higher regulatory body, then they should be the very last resort where other measures have failed.
Binance has Binance.US, which operates under a license, which is Alabama, SC 814/Arizona, 1009212, and Binance.com, which has its headquarters in the Seychelles. if you have a problem with .US and you are a citizen of the United States, you can easily contact the regulatory authority to solve your problem or contact a lawyer for A legal dispute. As for Binance.com, given the absence of clear legislation and the regulations in Seychelles are somewhat flexible, unfortunately, you cannot do much. This is assuming that the claim that their license in Seychelles is true.
Non-resident US citizens are fucked from this because there is no law to speak for them if they decide to bring up a law suit against any exchange where they feel that other measures have failed and the law is what will settle it for them.