Unless I'm missing something this is irrelevant.
In the US:
Servers are paid a minimal amount by the restaurant+the majority via tipping
bussers//foodrunners are paid hourly by the restaurant+a portion of the tipout by the server.
bartenders are paid a minimal amount by the restaurant+tips from the bar and a tipout by the server.
Hostesses, cooks, managers are all paid hourly or salary by the restaurant.
Unless Jamaica is drastically different in how the restaurant pays the employees, people shouldn't feel obligated to tip the chef separately, the restaurants should be paying reasonable wages to their staff, unless you're saying that in Jamaica they don't, which then makes me wonder where the restaurants get off charging the same amount as US restaurants AND also add a service charge.