You don't need to be recording reggae to record in Jamaica and it's not an obligation to record in Jamaica if you're producing/recording a reggae record.
All kinds of music are produced in Jamaica daily and a lot of good reggae records were and are being made in studios all over the world daily, in Jamaica however there is the the largest concentration of professionals with the experience in producing 'great' reggae records.
The top studios in Jamaica (with an exceptional track record) are without doubt Harry J, Tuff Gong and Anchor studios. Harry J has the best sounding live room by far (ask ant musician who have ever recorded there) and has had more local and international hits than the other two put together. Tuff Gong is nothing to sneeze at it is a world class facility and is a very tight ship with a good staff. Anchor runs a tight ship and put out good work too but I have not found anything special or exceptional about the rooms and equipment.
There are a lot of studios in Jamaica where you can produce really good work and I have worked in most, but my first choice is always Harry J with Tuff Gong a very close second....