I did not know. Thanks.
I still think it would be more appropriate and effective to consolidate similar holidays/acknowledgements/celebrations/etc if the desire is to bring awareness.
I already have a display planned for June to support the LGBT community; I'll stick with that for now. Despite the tone of my original post, I do support the cause.
It's just easier and more effective if, in the case of LGBT celebrated in June, people and corporations jointly bring awareness and celebrate inclusiveness together to make a statement. Fracturing cohesiveness by alternative dates or sheer redundancy tends to weaken awareness campaigns, cause confusion and can actually, as evident in my post above, be a disservice to the message.