It is inadvisable to jumble equipment from different vendors. Even if something cross-OEM works today, there's no guarantee it will in the future. Jandy has been the most aggressive with this by far.
Pick one and stick with it. Jandy automation and Jandy equipment or Hayward automation and Hayward equipment. IMO, I am no fan of Jandy due to their strong anti-consumer stance on most things, so If I were in your shoes I would pick Hayward. No matter who you go with, a SWCG in Texas is a necessity. Do not let them talk you out of it.