Well, I don't really think AI ever could get to such a point, and most experts on the matter don't, from what I understand.
But taking the hypothetical at face-value. Im not really sure they would answer the same, no. Probably similarly, maybe even mostly the same, but I think there are a mix of pre-determined and developed characteristics. Scientifically this is mostly concluded, and philosophically, this is about what checks out for me.
There is also an important question, which is; is the AI now conscious? Which is again, mostly deemed unlikely and impossible by many experts currently, or is it simply following through a bunch of algorithms to act like the person?
If its conscious, then perhaps it would try to deviate from the singularity in order to assert its own Self-Hood. If its not conscious and is merely following algorithms, then imaginably it may predict with startling accuracy what Todd would respond, but I think it would mostly do this as a result of it having a bunch of data already on Todd and how he responds to things.