The question should be, would otherwise great people NOT join the force if such a control isn't in place?
Also, without controls - you attract exactly the wrong people (power-hungry bullies).
People who work for a broker or market making bank are heavily scrutinized and they, their family, and to some degree associates (room mates, etc) are restricted in their basic conduct - political activity, investing, etc, and face increased penalties for financial crimes vs the average person. It’s telling we hold our money handlers to a higher standard than the armed representatives of the government with extraordinary rights to deprive people of their liberty and life. Money is more important than our freedom and safety?
On recruiting officers by making the job come with the perks of immunity for criminal behavior, seems like we should find another strategy. If you can’t identify yourself as the police before you beat someone half to death, maybe you’re not qualified to be a law enforcement officer? Maybe we should be glad they wouldn’t take the job if it came with reasonable protections for the people they’re supposed to be protecting?
Why should we incentivize people to be "Police" where "police" implies a free license to abuse civilians? In fact, people who are deterred by an abuse license repeal are probably the right people to deter from service jobs like policing.
You could also ask the same question of skilled martial artists and armed forces veterans. Both classes can face higher penalties, but that doesn't deter people from becoming Army Rangers or karate black belts.