Continuity mistake: In Season 2, Episode 17 - "All In", the young patient goes into respiratory arrest. You see the doctors remove the pillow from underneath his head to put the breathing tube in, but in the next shot, the pillow is back.
Continuity mistake: Ian (the patient) moves his hand while he is in cardiac arrest, then almost immediately, Chase checks Ian's pulse and the sleeve of his shirt changes position. (00:31:10)
Character mistake: Dates on a former patient's file indicate a birthdate of 04/24/24 and an admission date of 02/04/94 (an attained age of 69 yrs 9 months 11 days); House subsequently refers to that patient as a "73-year-old woman." (00:06:19 - 00:08:37)
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