if they are also working with a bank or other legitimate and trusted company and also they are showing themselves to the user i would be comfortable to put my ID if it is necessary like that wallet that we are using here in my country .
Well yeah if they are true people and they are showing the real information there's no problem to trust them. to give your real information too..
Its dangerous if the site are not telling the truth and no proof that they are real people.. this is online and i think many people are hiding their real information because online is dangerous if we give our real information.. they can use it in illegal activity or use it to hack your bank account..