'Total' amps is rarely used because it is only indirectly related to a measurement of interest.
Circuits are rated by the phase amp rating. A 300A circuit is rated for 300A on each phase conductor. A 300A breaker has a 300A trip element on each pole. So your eyedro is correctly reported the value for each phase.
Devices like generators and transformers are rated for total kVA assuming a balanced load, and something like a generator prime mover will be rated for total kW. 'Total amps' can be used to approximately calculate total kVA being used. But since you are also limited by the assumption of balanced loading, you can't simply use the total amp number and assume you are fine.
A 300kVA 480V three phase system is nominally 360A. This could be expressed as 1080 total amps, but if you had 500A on phase A and 500A on phase B (total 1000A) then the system would still be overloaded. Better to ignore total amps and just look at individual phase amps.
More useful would be if the eyedro could be configured to report neutral current. Is it possible that the unit is trying to do this but is somehow misconfigured?
Jon