It definitely cant hurt, and necessity would depend on quests themselves. When referencing anything, its always easier to do it with numbers, and it leads to less mistakes.
It can actually hurt.
The difference here is that you suggest the "spreadsheet method" and I suggest the "roleplaying method".
If I get a quest where I need to kill the Evil King, I'd like that quest to be called "Kill the Evil King", and not "Kill the Evil King (RPC-453/B)". The latter might make it easier for the organizers to find the quest, but it doesn't make any sense when we talk about role playing. Information should be given on a need to know basis, and players don't need to know what code a specific quest has.
Two facts about WoE-
1. Players themselves add quest names to their Character Sheets. If there was a code, players would have to add them.
2. Organizers are not keeping track of who is doing what quest, just like we are not keeping track who has which cards. This is all done by the players themselves, and organizers only intervene if there is a problem.
All we need is one Google Docs spreadsheet for quest organizers, which can be sorted with multiple different options, including alphabetically. This spreadsheet could have the code because it might be helpful to writers at some situations, especially if we get 100+ quests. But like I said, players don't need that information.