I keep missing these and I think so do many others.
Can you move the Moogle that sells the pearls (or make a duplicate) and put them next to the login point greeter moogle when the lottery is running? Most of us check these often so we won't be able to miss that the lottery is happening if you do that.
I've missed 2/3 the last lottery events cause I didn't know they were running and I only found out I missed them when I see the winning numbers.