No it’s not. The reason being the public sector Union gets large enough to pick winners. The winner is the person who approves their contract and budget and is likewise incentivized to grow the Union more to secure more votes.
That famously powerful voting bloc, federal civil servants. You always hear about what the federal civil servant lobby is pushing for and the concessions they squeeze out of anyone who's running for office.
Teachers unions are pretty notorious, rightly or wrongly. And other civil service unions have significant impacts as well. (Not sure why you single out federal civil servants compared to other levels of government?)
It’s a massive conflict of interest.