FWIW, in years past the EXO is always sold out and Hunt Fee's paid at Garner, but the GDA Hunt has had a history No Pays, - what the 2nd drawing is designed to cure - but has always had StandBy's available that allows Axis as part of the harvest.
I don't like the way the Hunt is managed, BTDT one time and won't go again for any of the Hunts, TMI for here but PM me for my experience 6 years ago that I'm sure is still the SOP...but it is there for the guys that want to chase that opportunity. Call the SP and find the Hunt Manager/Biologist for details. If you go it is best to plan on camping at the SP. Uvalde is the nearest town of any size and services at 30-45 minutes south.
You need to Understand...Garner is primarliy mananged for tourists, as it is one of the top 2-3 SP destinations in the System and hyper busy with snowbirds all winter...georgeous country with several other non hunting SP's within driving distance...and well worth planning off season visits at on the Gotta Go See Bucket List.
Remember Aesops Fables outcome of the "Scorpion & and the Frog's" crossing the river when they get to other side
a LOT of Money doan't buy you ANY Class..old South Oak Cliff mantra
Those who fail to learn from History are doomed to repeat it...Santayana