I'm not an eye care professional, but I've done a lot of reading about cataract surgery and different types of lenses. I've never seen anything in the medical literature supporting this claim, and I'm extremely doubtful that it is true. Hopefully, one of the forum ophthalmologists can give you a definitive answer. If it turns out that the claim is false, I'd have a very hard time accepting other statements made by the doctor who told you this.
I have never read nor heard that aspheric lens can cure metamorphopsia (distortion caused by macular disease).
Insertion an aspheric IOL will ONLY help vision reduced by catract. It will not cure ARMD distortion
JCH MD