It's occurred to me, but this happens even in places where tourists basically aren't found and there is no well oiled machine for it even be worth the cartel's time to like keep watch for tourists and call the police to shake them down. That and the cartel can just straight up roll up with guns and take all your shit, why wouldn't they just do that if they wanted your money? Instead you find the cartels want nothing and the police want a bribe that would amount to very little for the cartels and not at all worth some arrangement picking up pennies with bumfuck police that almost never see a tourist.
You're making a number of assumptions for what's required in this process beyond "shake down any tourists you like and give us a cut when you do (or we'll kill you)".
>That and the cartel can just straight up roll up with guns and take all your shit, why wouldn't they just do that if they wanted your money?
Being robbed by the government is more palatable to tourists. Would you travel to a place where ununiformed criminals shook you down for $100 a day?
>"shake down any tourists you like and give us a cut when you do (or we'll kill you)".
What you are describing is a tax. A tax is generally understood to reduce an activity which is why cigarettes etc are highly taxed. Not sure this is making the argument you think it is. In fact you are describing a system where the cartel disincentives this behavior, by making it less profitable.
>Being robbed by the government is more palatable to tourists.
I mean yeah, but I've also travelled as a private citizen to a number of places that someone politically-uncorrect would call "3rd world shitholes" like Iraq, Syria, etc. I've travelled places where I've been handed an AK by the locals and basically told "good fucking luck, try not to die." I'll go pretty much anywhere; I've been shot at, I've been robbed, I've been pushed out of cars abandoned in the middle of nowhere, I've had my shit jacked before and I generally not hold it against the police or the country in general if ununiformed criminals do that.
This is purely a matter of opinion but being told I have to worry about the cartels and the police is a bigger pill to swallow than just worrying about the cartels. The fact I personally was willing to go doesn't indicate I find being robbed in uniform more palatable.
The point is that a police uniform gives a veneer of respectability to robbery (they even call it something different--a bribe!) that a mugging does not posses, and presents as a routine matter instead of an assault or threat of violence (the threats there, of course, just less explicit). The uniform is a bone-stock, fundamental element of the police bribe dynamic. You can hard disagree that tourists find it more agreeable, but you need to throw out some kind of argument for why that is (more than just how hard ya are).