I am most interested in why they demand so much data, they don't have enough of my mail? They require Transaction Hash, but I can find only the amount and the wallet address in the mail.
Is this the first time in your life you discover the concept of bankruptcy? The rules don't suddenly get shaken up, just because it's a crypto exchange, you know.
These people have a mandate from the Court. You can't seriously expect them to send you some crypto coins, simply based on your claim, your e-mail address and no other information or data whatsoever? If in real life, a company goes bankrupt, you think you can simply send an e-mail to the liquidators and tell them: "Hey guys, send me some money and by the way, I'm not telling you why, or who I am" ??
Keep it real, mate.
The people behind the exchange are no longer in charge. The liquidators have a legal duty to defend the interests of all people who are involved in this liquidation. They therefore have to respect the local law concerning insolvency and the old Terms & Conditions will only count if they are in accordance to these laws.
So if you've got nothing to hide, and you wish to recover your coins, take the necessary steps. If you have things to hide, or simply do not wish to recover these coins, don't send them your ID - duh.
I'm a radical defender of anonymity, but risks are always involved, and bankruptcy is one of them. Therefore you have to find a balance between anonymity and "security" and that's a decision and consideration only you can make.