Any tenant shall be eligible for appointment as a tenant commissioner of any authority if such person is a tenant in any housing provided by or through such authority pursuant to the provisions of this part, the Temporary Housing Projects Law, Part 4 (commencing with Section 35450) of, or the Farm Labor Center Law, Part 7 (commencing with Section 36050) of, this division. Any tenant shall also be eligible for appointment as one of the commissioners not required to be a tenant commissioner, with all the rights, powers, duties, privileges, and immunities of any other commissioner.