It's just kinda pointless, yes
Nothing happens when it shows up!
Haven't really thought about the difference that it may or may not make when playing with others... Now that you point it out tho...
Possibly maybe there's an even that only applies to the first player?
Edit: reading through the rules once again, now that I am able to play on TTS, I noticed that at the end of a player's turn he or she may trigger one "End of Turn Effect". This could be to build stairs in order to descend deeper into the mines, which then of course makes for a difference for the other players - especially if someone has the Mining Profession or Upgrades! In this case it would kinda suck to be the first player if you're
that person, since you can only help your friends delve deeper but not yourself :P