Where is the link to state that the survival rate is a fasle claim?
The survival rate can vary. It really depends on how the fish was hooked and how the fish is handled. From the studies that I have read it seems that the survival rates are very high. You can google to look for studies or you can look for peer reviewed articles about it online, thats how I usually find information on subjects I am intrested in. There are plenty more articles on this subject you can look for on you own time, but I have provided two studies to look at below:
here are links to a study done by FWC in FL and a Study done by DNR in MN.
click here for study
Study by MN DNR
These studies are obviously done in specific areas, but you can find more studies done in other areas and different fish populations.