Although:
Could the EVSE be advertising the wrong circuit capacity? OP should try a different EVSE and see what happens. Additionally, get a clamp current meter and use it to measure the actual amount of current in the circuit (may have to open up the panel to get to the wiring easily).
If the EVSE is 16A (on a 20A continuous circuit) and is in fact advertising 17A, then OP should get rid of that EVSE because it's a big safety issue.
The car reports a 16amp limit on the main display but then tries to draw more current than the limit.