Continuity mistake: Right after House has given the speech he and Wilson step outside and House removes his tie. After this his shirt collar changes between almost every shot, from being tucked in his jacket to being on the outside of it.
The Tyrant - S6-E3
Continuity mistake: In the scene where the patient is having a heart attack, Dr Cameron is shown on the phone to House with dark hair despite having had blonde hair since season 4. She has blonde hair again in the following scene. (00:10:30 - 00:11:30)
Answer: If he were caught, he would still be forced to serve the jail sentence he was given. In addition, he may be charged with various kinds of fraud: insurance fraud if someone collects on a life insurance policy, identity fraud if he gets fake documents, tax fraud, etc.
LorgSkyegon