Assuming you're using the new boards (formerly called the Rapid Board) you could just create two boards looking at the same issues, in one the estimation unit would be Story Points, in the other it would be Original Time Estimate. The burndowns would then work the way you want.
I'm not 100% suere why you'd want to do this though.
...PermissionsStartOnly=true User=www-data Group=www-data ExecStart=/opt/jira/bin/startup.sh ExecStop=/opt/jira/bin/shutdown.sh TimeoutStartSec=120 TimeoutStopSec=600 PrivateTmp=true [Install] WantedBy...
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