This seems to be weird legend with very little fact behind it.
> claim LSD is safe.
Obliviously nothing is perfectly safe, but pharmacologicallly LSD is the safest drug there is. Safer than Aspirin. It's virtually impossible to overdose it, it's not toxic and LD50 is way 10^5 - 10^6 times of what is the usage. It is possible to get into accident during big LSD trip if you are not fully aware of your surroundings. Having trip sitter helps with that.
Frequent use of any drug when you are young is probably always more risky. Brain is fully developed late 20's.