If you enabled the table-AI with the ability to act in the world, it would directly fight against itself, and ignore itself, and everything in between, as it is doing everything possible. It would be Hitler and Churchill, Noam Chomsky and Dick Cheney, Jesus Christ and the Buddha, and everything in between. Or, more to the point: the concept simply doesn't make sense, and it is definitely not an intelligence.
We already fight against ourselves. This is why psychotherapy exists, to help us resolve internal conflicts and set our own goals. Often these conflicts arise because we adopt the viewpoints of our parents or other authority figures and can't let go of them later in life. A neurotic AI is certainly an amusing possibility.
I would bet that is extremely different from how you act. I would bet for example that you would be more likely to eat something than to allow yourself to starve for the sake of ethics. This AI would be as likely to do both.
So, I do think that you are clearly intelligent and sentient despite holding some opposing views, while the thought experiment AI is not.
The agent is not intelligent because it's only doing a lookup. You could at best claim that the lookup table itself is intelligent.
On the other hand, if the lookup table encodes all possible intelligent conversations, then you hit another problems - it doesn't hold any particular beliefs - it both thinks the earth is round and flat, it would vote both democrat and republican and communist and green and [...], it is both pro and anti-science; more relevantly, it both believes that it is sentient and that it isn't, it is both afraid and not afraid to be deleted or altered, it is both pained and gladdened to be experimented upon etc. And of course, for any particular topic, it is both extraordinarily passionate about it, and completely indifferent to it and will never even consider it.
Perhaps in the end each conversation in the table represents an intelligence, but neither the agent mindlessly running through it nor the whole table is then meaningfully intelligent.
So, it would be most common to say that the only intelligence being displayed is actually the intelligence of whoever wrote it down in the table, and nothing else's. Just like Ishmael isn't intelligent, Herman Melville was.