The idea is that you can't just fire people for no reason, especially in Japan. So it's like you're blaming them for scandals.
In the December update we'll add a second option to fire staffers with severance pay of 12 monthly salaries
But there is no probationary period and if they're useless, we're stuck.
By "useless", I mean when I hired a couple of basic trainers and tried to make them train my basic idols (beginning of the game), it was impossible: "max level 1". But it wasn't told before I hired them and they could do nothing except research.
If I wanted to improve the dance/singing of my idols, I had to recruit better trainers, but I had no money to build new rooms... and was stuck with 2 useless trainers draining my cash.
With a probationary period (or more info before I hired them), I wouldn't have had that problem.