Not symbolic arithmetic though, and the answer is not precise.

If people are going to argue that inanimate objects perform arithmetic, they will need to define arithmetic. Digital or analog calculators do it symbolically, subject to interpretation of the symbols by a human.

If a human is using a calculator or an abacus or blackboard to perform arithmetic, would we also say that the abacus or blackboard performs arithmetic? (Great, now we have to define "performs")

Why stop there? by the same sort of argument, one could say that it not only computes arithmetic, but it is a quantum computer.

The way I see it, an operational amplifier, or a person catching a ball (to take an example from another post here) is performing a task that can be analyzed mathematically and modeled arithmetically, which is not the same as doing the analysis or setting up the model and performing the calculations.