Wow. You truly do believe you are permitted to lie to obtain government benefits you otherwise are not entitled to.
How far do you extend your chiddush? Is it permitted to lie so that you can get a good shidduch (if the shver is rich, does the parnassah heter apply)? If I damage your property and I don’t have the funds to pay you back, can I lie to you and deny it under the parnassah heter? If my wife wants be at home, but I want to hang out and eat chulent and sushi with the chevra, can I lie to her and tell her the car broke down to maintain shalom?