Paramedic for sure.
People are always happy to see a medic, not so the police.
Socially, although nobody in my circle is anti police, if I met an officer socially I would be guarded. If I met a paramedic I would be way more friendly and admire their work.
Obviously there are good police officers, but their standing in public opinion is tainted by the bad ones.
There may be rogue paramedics but fewer.
I don’t understand the logic behind police/paramedic. You either want to do one or both.