When it comes to employee vs employer, they are employed just like everyone else and can have disputes with their employer just like everyone else. They are on their own side. If police want to end single person patrols for safety concerns, or want a minimum number of hours rest between shifts, that's what their union would be for. It doesn't look any different when it's police vs. teachers in that case.
This comes of as ahistorical to me (as an american at least). Every significant moment in the US labor movement came down to workers vs. police, it's not like the robber barons were shooting the miners, steelworkers, etc. themselves
The unspoken thing about cops is that, yes, they surely care about vacation time, working hours, healthcare. And, yes, they are probably just as much victims of liberal economic austerity and such as the broader workforce. And, yes, its even not that much of stretch to call their labor "productive" (in the Marxist sense) considering how much money they extract from the population they are "serving" (only speaking for the U.S. here).
But regardless, even if they are struggling to pay rent or save for their child's college, they are singularly compensated by the one thing almost as valuable as money in our world: bare authority.
But its a bitter reward! Spiritually unhealthy. Forever opposed to everyone around them, specifically trained to think as such. Which is why, imo, we see huge numbers of them suffering from PTSD, committing suicide, engaging in domestic violence...
