File creation dates are just that, the date/time that the file was created. When you copy to another File System, a new file is created on that file system so it should get set to the current date/time when it was created. The creation date has no relevance to when the contents of the file were created.
macOS does add metadata to files that establishes a "content" creation date, but not all file systems support metadata, and even if they do, they may not support that particular metadata or some way to map it to an equivalent.
I do not know which date Get Info uses, but I would think that is the actual file creation date on the file system.