I hope Facebook passwords are limited to US ASCII, because I seem to remember that there are country specific conversion rules for various Unicode characters that may or may not be subject to change, not to mention the lack of 1:1 mapping for case conversions. Example the German lower case ß converts to SS, so does ss. Of course they also created an upper case variant ẞ of ß a few years ago so who knows what mapping any software will use.

Going further to avoid collisions that could happen between words like massen and maßen when upper cased the rule of thumb was to convert ß to SZ when that happened, so getting the correct upper case would have also required a full German dictionary.

TL;DR: Upper/Lower case conversion is complex, avoid it if possible.