This app was mentioned in 1 comment, with an average of 1.00 upvote
If you go here, scroll down and click on "Permissions View Details". You will see all the permissions it is asking for.
It does not appear to ask for your call or sms history nor does it ask for mic. To be honest, from the privacy perspective, Whataburger app is a little safer than Chick-Fil-A app as Chick-Fil-A asks for Phone permission.