Every time I've requested an absentee ballot, it is sent to the mailing address I specified when I registered -- even if I specifically ask that the ballot be sent to the address that I registered as my home/residence.
I've also not received my absentee ballot in the past. I had to ask again, long enough before the election for them to send another one.
The last day to request an absentee ballot was Sept 30th, so today is too late.