Both statements are false. RTW should be called the Right to Freeload or the Right to Work for Less. RTW guarantees no one a job. By forcing union members to carry non-members on their backs, RTW weakens workers' ability to win real workplace rights. Union security clauses are simple fair play.
Unions negotiate for everyone in the bargaining unit.
They enforce the contract and process grievances for everyone in the unit. If they ignore these obligations, they are liable for serious financial penalties. With an RTW law, union members pay for themselves and then pay again to represent non-members. Of course, the duty of fair representation is not the only reason that we enforce the contract. If we don't make management follow the contract for all workers, we set precedents that hurt everyone.