I don't know why it says popular times includes Saturday, but I'm sure they're closed on Saturday because it's family owned and operated. I'd imagine they want to spend some time with that family, no different than the average person.
Most likely just a glitch in the system
They started as a catering company and still do that on the weekends. If they don't have an engagement, they post on their Facebook page that they will be open on a Saturday.
Every once in a while they are open on a Saturday. When they are open it's popular.
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