I would submit that if the unit came from the factory with a 20-amp plug, and the unit has a UL lable, that the issue has alredy been debated, and that a 2-amp receptacle is just fine.
Indeed, some here can be counted upon to take the position that it would violate code to remove the factory pigtail and hard-wire the unit.
Supply your own pigtail? Well, I'd be wary of wire sizing; most ready-made pigtails are smaller than #12.
Though the NEC defines a circuits' ampacity by the size of the OCPD's, that definition fails to account for the variety of times that OCPD sizing rules are modified for specific loads, like air conditioners.
For example, I'm thinking of all the 40-amp (max OCPD) air conditioners I've installed using 25-amp (#12) wire. I just can't get around how the NEC would call that a '40-amp' circuit, though it was never intended for that circuit to carry 40 amps for any length of time.
I'll admit to a bias in favor of cord & plug connections. This equipment gets moved around, either for maintenance or cleaning, a lot more than you'd think. Sure, there's also a water line tying it down ... but I'd just as soon have only one such 'anchor' to fight with.