ARIMA models with no/low autocorrelation of time-series

If Ljung-Box test, autocorrelation function and partial autocorrelation function all suggest that a time-series doesn't encompass autocorrelation, is using an ARIMA model unjustified or "useless"?

Can the use of ARIMA be justified in a situation of low autocorrelation in the data?

Thank you for responding!

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