I don' think it is exaggerated. If you look at what is currently happening in korea with all its legal issue, lawyers are quite in demand, same with prosecutors. From government corruption cases, company deals, divorce, and etc. There will always be a legal issue no matter where and what.
In a case, between Police or prosecutors or lawyers, people will most likely remember the prosecutor/lawyer names. They will be the ones infront of the case, presenting or defending.
And for american shows, I've seen plenty of it like how To Get away with Murder, Damages, Suits, better call saul, JAG, the Good Wife, the Good fight (spin off of The Good wife), Boston Legal, law and aorder, Ally Mcbea and etc.
