That tropical traditions page has some good info, exlaining how expeller pressed stuff is good. Expeller pressed coconut oil also has less odour and taste but some.
This page explains it's still okay: http://180degreehealth.com/2010/11/refined-coconut-oil Due to the stability of the oil it isn't much damaged in processing.
Also, the Tropical Traditions page itself states that they found more antioxidants in coconut oil processed with heat than not. Apparently a traditional way of making it (which they do not use) was to boil coconut milk until the oil separated.
RBD coconut oil is made from copra which has mould and bacteria. The processing can involve heat, and then due to the mould and bacteria it has to go through filtering with solvents. But this isn't necessarily bad again. That's explained here: http://www.coconut-oil-central.com/rbd-coconut-oil.html under the title 'Still Healthy.'
Fractionated coconut oil apparently has a longer shelf life than other coconut oil. I can't comment on residue from solvents, but if it were damaged by heat in processing it should go rancid, rather than be the most stable of oils. Also, having no taste or odour, it can be convenient for some uses. Fractionated is when they get RBD and separate the oil without solvents, leaving only medium chain fatty acids. Medium chain are better for you, and the oil is liquid at room temperature, very thin. It is used as a massage oil.