The lookup table view is a distraction. First of all, it is completely implausible—the lookup table needed would have more entries than atoms in the universe (much more, actually). But even if the lookup table could exist, the only way it could be filled in with good entries is by having a real or simulated person specify all those entries. So while the room may not understand Chinese, the real/​simulated people who filled in the lookup table entries did. When someone interacts with the room, and thinks the room understands what they say, they are basically right, but are just wrong about the location in time and space of the entity that understands.
The lookup table view is a distraction. First of all, it is completely implausible—the lookup table needed would have more entries than atoms in the universe (much more, actually). But even if the lookup table could exist, the only way it could be filled in with good entries is by having a real or simulated person specify all those entries. So while the room may not understand Chinese, the real/​simulated people who filled in the lookup table entries did. When someone interacts with the room, and thinks the room understands what they say, they are basically right, but are just wrong about the location in time and space of the entity that understands.