Should the whole parish wash each others' feet?

In our parish, the priest washes the feet of twelve parishioners. Then they proceed to bring out basins and towels so that everyone washes someone’s feet. Some of my friends think it’s a very beautiful sign of how we should serve each other. I think it’s an unnecessary addition to the act performed by the priest. Your thoughts?

No, the rubrics only call for the priest to wash the feet of selected men. The rubrics don’t specify the number of men chosen. However, there is nothing in the rubrics that call for parishioners to wash anyone’s feet.

Therefore no other person, even if he be a priest, may add, remove, or change anything in the liturgy on his own authority.
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Constitution on Sacred Liturgy*

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