The Emperor doesn't have a son Fëanáro's age but if I'd been found hiding him from his father and he was sitting on my lap learning unauthorized lessons that would be another problem from the Emperor's perspective. Anyway, he would assume that if he asked me if I was trying to kill him and I was in fact trying to kill him I'd still say 'no'.
...but assassins wouldn't do that, so it wouldn't matter if I did.
If he wouldn't believe me when I said I wasn't an assassin he certainly wouldn't believe me if I said I wasn't a liar.
...um, anybody would swear falsely to get out of execution. At home.
Do you just mean lying in general or something more elaborate?
I don't know if I've ever done the exact thing you described per se because this isn't something people ask of others on a routine basis at home, but I wouldn't expect anything interesting to happen if I did...
Are you sure this isn't just a thing for your species, because I think I would have heard of it if it were a thing for mine.
I suppose, unless he thought they were choosing their words really carefully and were conspiring with assassins, or were spies instead, or something like that.
Well, he'd probably want you to swear not to tell his professional interrogators any lies; and he'd have to know that you were a whatever your species is called and that this property of the species is reliable; but yeah, I guess that would work, or at least it'd work if there weren't an established policy on how to deal with palatial intruders.
Sure they would. We're talking about people who are hypothetically planning to kill me.