Disabled customer account keeps being reopened

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Hi everyone,

We require accounts on our website as our products are targets for fraudulent orders. 

We have a number of apps and etc but most at best will just cancel orders after they have been placed and we are stuck with the processing fees. 

One customer/fraudster we have disabled his account many times and he keeps being able to reopen his account. Any idea how he is able to reopen his disabled account? I've asked Shopify to investigate but not sure if they will understand the issue or just refer me back to the apps that don't really prevent orders from happening in the first place. 

Thank you!