"You missed the part where it said the mall is private property. 'private'"
Have em' put up a sign that says queers can't hold hands, kiss, and/or snuggle in the mall and see how that fares.
Such behavior would be a "an obvious First Amendment exercise of speech" before the property owner could even got a copy of the formal complaint in writing.
What's good for the goose is good for the gander but obviously "private property" arguments never fail to neuter some of the ganders leaving many a goose free to do as it pleases free from any equal and opposite reactions.
Back to the planet earth.
Your hypothetical has zero to do with this case, obviously your intention.
Try ‘ Have em’ put up a sign that says queers can't no-one can hold hands, kiss, and/or snuggle in the mall and see how that fares.’
Now that's the same. You have zero right to do that on others property too.
If you don't like it then don't do business at the mall, better yet rally others to not do business there too. That you have a right to do.