<s>Check your privilege, I don't even know what 'love' is, and if the descriptions I've heard are accurate, it seems like an amazing thing that I'm supposed to have, but don't.</s>
It depends on if you want your death to be a message to others, and what kind of message you want it to be. Said message might be emphasized with a note, but I'm not sure that the birthday is specifically the one you need. It could be any day that you want to ruin for them.