we were there for 5 days in the summer, and I rarely saw anyone using BBQ. There are 1-2 picnic tables right there, and also several tables in GS pool/spray-play area--towards BBQ---it would be a fun lunch/dinner to let the kids play in spray area while BBQ and then eat at one of the tables by pool.
Unlike Springs pool area, GS was never crowded and we could always get a table.