That’s how the sign started its instruction. But health and safety is not a person. It has no interests.
But people do.
They have interests. They are interested in staying healthy and safe.
And we are interested in them, because we are empathetic. We want other people to stay healthy and safe.
So why not start with “to help you stay healthy and safe…”?
Or, warmer still, “because we care about you.”
(Or even, because we love you, as fellow human beings?)
What “in the interests of health and safety” really signals is “in the interests of us having discharged our responsibility to tell you’. Which is empty of empathy.
And love.