Probably yes - Reason: If private citizens have the right to sue, they will probably hire a lawyer to help them. Second, private citizens can put the costs onto the bureaucrat giving welfare to illegal aliens, which means that the private citizen can hire a lawyer on contingency and have the lawyer paid by the bureaucrat when the bureaucrat loses.
In a nutshell, if the trial lawyers can make money suing those who give welfare or other benefits to illegal aliens, the courts are likely going to side with the lawyers, even though the courts could care less about the taxpayers - Re: Proposition 187.