In a former business I had several 'customer advocates' who were tasked with representing customers to internal teams. Difficult/complex/delayed issues could be escalated to the advocates by customer support.

I view customer support as a marketing opportunity via goodwill and word of mouth.

Accounting for customer support as a debit against the marketing budget is an incentive to prevent incidents.

In another comment I asked the OP if it could have helped if they were able to notify ahead of time of expected spikes in turnover (due to marketing initiatives, etc.) that could be factored into the risk management equation.