The ratings on most AC stuff I've seen are for MAX current
. In this case, 1.6 amps is probably the startup current
. Continuous is more likely a lot less, like 0.5 or so.
Just a guess, but an educated one. As long as the inverter would start it, I'd go that route
One more thing, most fridges and freezers are now insulated with solid poured in place foam so they're pretty efficient.