No, you are wrong. A huge percentage of money made from selling illegal drugs in Belize and Latin America is from weed. Your example is accurate in a way, but its like being the owner of McDonald -vs- the owner of five star restaurant. Both are good, but the big money is in what the average man wants and can afford. Also the majority of Belizeans can't afford a steak tartar. I lived and worked in San pedro for years, and spent ALOT of time in San pedrito...the cash crop is Weed. I too was surprised to find such a benign plant was behind alot of this violence, but it's true. Here's a quote from an article about the Mexico drug wars...

It is true that gangs make considerable amounts of money selling marijuana. According to some government estimates, Mexican drug cartels make more than 60 percent of their profits from marijuana alone

Although the figures vary depending on the study, and I picked the largest number to support my case, but the fact remains it's a huge driver in the Latin American drug war, and Belize especially with the lower income and a cultural proclivity towards weed.