If Oswald acted alone why wouldn't he claim it instead he said he was a patsy.
This is only my opinion,but for an accused murderer to claim that he was framed for his crime is not unusual.
Pretty much everyone accused of a serious crime,like murder,denies their guilt.
I think Oswald really was mentally unstable enough to believe that he would get an acquittal when the case went to trial.
The worst thing Oswald could have done was to say on National TV that he did it.
It really sucks that we never got the chance to bring him to trial.
The ratings for that show would eclipse the Nuremberg,McCarthy,and OJ trials combined.
