It's not even remotely close. I say this having used 130 gigs of high speed mobile data over the past month, tethering wherever I felt like it, and spending under $30 USD for the privilege.
I have lived most of my life in Brazil, and even though I am very privileged, the following has happened to me: 1) Watch stolen by drug addict with a syringe when I was 12 years old 2) Cellphone stolen by a thug with a glass shard when I was 16 3) Also when I was 16, three thugs tried to steal my cellphone, they said they would blow my brains if I didn't comply and faked having a gun (I didn't). 4) Two thugs invaded my frat house, held us hostages with handguns, and stole all we had (I will never forget the cold metal of the gun touching my head, while I was threatened). 5) My car was jacked right in front of my house. 6) Another cellphone stealing incident that I'd rather not share in details. 7) My spare tire was stolen while I was in a bar for a couple of hours.
This is just what has happened to me in less than 30 years. Stories like those abound. My girlfriend also went through (4) and (7), independently of me. Pretty much everyone I know has had a cellhphone stolen at some point in their lives.
If you want to actually experience the dread that is living in Brazil, search for "brazil" in reddit's /r/watchpeopledie.
Indeed, most people who travel to Latin America want to travel and do sight-seeing. And that can be dangerous, especially for "gringos" (Anglo-Saxon whites) because they are perceived as wealth targets by kidnappers.
You don't really have that problem in a place like Thailand.
However, I don't think it's fair to lump all of Latin America together. I found living in Peru for 9 months safe, and I travelled all over the country. I also visited Bolivia and Colombia but less extensively. In fact, most of these places felt safer than SF after you know the lay of the land.
Chile on the other hand is very safe, has good infrastructure and is a pretty pleasant place to visit with lots of varied scenery and low corruption. They even have a startup incubator program. The beaches don't have warm water unfortunately.