The Any% rule says "Red is defeated", but I don't know if this includes calling up the conversation after Red has been defeated.
Specifically, I mean calling out only the conversation text and events, as in the run this.
This really should be in the main rules (it's currently only in the category extension rules), but what "beating Red" is defined as can be found here, on the PSR wiki. Quoting the wiki:
For glitched categories, the following are the common requirements that must be met to qualify as "beating the game": (a) Being in Mt. Silver on the map Red is in. (b) Talking to Red and running his unaltered NPC scripts until the credits roll.
This ruling mainly stems from MrWint's Pokémon Gold Coin Case TAS, which laid out the specific justifications why the above is what counts as beating the game.
