stadium Stadium 1 reward PKM & Wood Box in Gen 2

[BokePall1]

https://bulbapedia.bulbagarden.net/wiki/Wood_box
 

I just checked 2 Hitmonchans, from R1 and R2. They are the same except for DVs. When you send them to Gen 2, they get Normal or Gorgeous Box.

Since I can't find anything different aside from DVs with editors, can someone confirm that Stad 1 has specific DV generation depending which Round reward Pkm you receive? Because how else can Gen 2 detect from which round is the rewarded Pkm, and which Wood Box will it have?

[BokePall1]

Nvm, found out about it here:

https://bulbapedia.bulbagarden.net/wiki/Pokémon_data_structure_in_Generation_I#Catch_rate.2FHeld_item