I am very curious about this as we have been helped a lot and found a lot of truth (and supported by research) from Dr. Dadamo's Blood Type Diet . According to his research, Coconut Oil is an AVOID for all blood types, except Type 0, non-secretor.
You might check his food recommendations for your blood type and find that by just dropping a few foods that are avoids for your blood type will help with the weight loss.
Here's a rather technical answer to the issue of coconut oil: