The device you are using for test, 10.1.0.6 - what is its default gateway (it should be 10.1.0.1)? Does this device have a subnet mask of 255.255.255.0?
YES to both.
If I understand correctly, 10.1.0.0/24 only exists on the MX at L3, correct?
YES.
If the switch is a Catalyst switch, has routing been enabled with "ip routing"?
It's a Catalyst Switch in "Meraki Mode", so fully managed on the Dashboard. But if I try to run the command in the terminal via the dashboard, it doesn't like the command.