Adding environment variables to specific loaded modules

[lvh]

I want to disable the annoying oh-my-zsh update prompt. I also want to use an oh-my-zsh theme. You can disable the prompt when setting DISABLE_AUTO_UPDATE="true". Unfortunately that environment variable is as you can see not namespaced to oh-my-zsh, so I'm skittish about enabling it globally, lest I disable some other auto updating feature that I do actually want. Is there a way to disable it just for oh-my-zsh?