There are differences, unless you have changed your appearance sense finding that L2. (hair style, eye color, etc...)
That said, the "bot" accounts that RMT farming botter/hackers use do not go through the detailed character customization set up, and generally just use the default "Male Derplander" that the game client presents on new character creation.
They want to knock out as much gil as possible as fast as possible, so going through the character appearance setting takes up time that could be used to bot.
Occasionally, they will make a horde of "Male LalaDerps", but that is done just choosing the Lalafel race and finalizing the character, not going into the details of the appearance.

So, finding another player with your "clone" is more likely coincidence or just someone who liked your look.
As they are on a different data center, you and them can't meet up via Cross World, so I doubt it was done as a gag to troll you or such.