Ok, this got my blood boiling and I wrote the president of Applejam (Franchise for Applebees in Texas), and I received the following reply.
A message from Frank DeAngelo, President of Applejam of Texas, Inc.:
Thank you for your note. I have determined that my Applejam Applebee's
restaurants will be consistent with our parent company's (Applebee's International) practice of not posting signs prohibiting licensed, concealed handguns. Therefore, in the Applejam of Texas' Applebee's restaurants, we will not post signs prohibiting licensed, concealed handguns.
I look forward to your continued patronage of your local Applebee's
Neighborhood Grill & Bar.
Ref # 141319