Multiboard for each player issue

[Nexor]

I'm trying to show multiboards locally to the players to allow them to see their own data. I have some questions about this. I run this trigger from another, it will show the multiboard to the player when he selects a unit of his:

• Multiboard update
  • Events
  • Conditions
  • Actions
    • Custom script: set udg_LOCALPLAYER = GetLocalPlayer()
    • Set PLAYER_NUMBER = (Player number of (Triggering player))
    • If (All Conditions are True) then do (Then Actions) else do (Else Actions)
      • If - Conditions
        • (Triggering player) Equal to LOCALPLAYER
      • Then - Actions
        • Multiboard - Show MULTIBOARD[PLAYER_NUMBER]
        • Custom script: set udg_UNIT[ udg_PLAYER_NUMBER ] = HERO[ udg_PLAYER_NUMBER - 1 ]

Will it work in multiplayer? Won't this desync ?

The other question related to this:
I'm creating multiboard for each player. If I change a text in a row, do I have to use the GetLocalPlayer() or it is just needed when displaying a multiboard?