iirc they are different.
moonlight script:
{ bonus bSpeedRate,25; },{},{}
while auth/thunderbox script:
{ sc_start SC_SpeedUp0,180000,0; },{},{}/{ sc_start SC_SpeedUp0,20000,0; },{},{}
I'm guessing for auth/thunder the duration is 180000 and 200000 and the speed = '0' effectively making it the fastest speed possible.
whereas moonie adds onto your current speed (or minuses, I'm not sure how moonlight script adds onto regular movespeed, or if it stacks with other things atm)
anyway, this depends heavily on which server you play.. because when I was playing some private server, auth badge gave agility up + stacked with moonlight, and box of thunder just maxed your movement speed for a few seconds (20?).
I'd safely assume that auth/thunder > moonlight.