Is it permissible for a person suffering from social phobia, who is unable to work, to apply for an aid of 2000 Saudi Riyals designated for job seekers, knowing that he does not intend to work even if he finds a job?

It appears you are not eligible for this assistance, as you are not serious about seeking employment. Rather, by obtaining the assistance, you intend to defraud the system, and it is not permissible to benefit from it due to its violation of the eligibility conditions, based on the Prophet's (peace and blessings be upon him) saying: "Muslims are bound by their conditions." So, whoever does not fulfill the condition for this assistance is not entitled to it.