No, no and no.
Early in journey of supporting my loved one who suffered from Anorexia Nervosa, I felt that I could not imagine what she is going through, what it feels like, and what she really needs to fight against. I could not resonate with not fulfilling the basic need of getting the right nutrition in order to sustain all body functions, and be a healthy individual. The whole thing was illogical, and against any belief I had.
The mother in me thought, by pairing my child up with someone that struggles with the same illness, they can better support each other. It was true to a certain extent.
They were a great support system for each other before and during family vacations, prior to hospital appointments, during school hours, or just sharing their emotions around eating. With that being said, keep in mind that EDs, and anorexia in particular, are competitive illnesses. You may find that your child and their friend are in competition with who restricts more, who loses more weight, who has better strategies in purging, exercising, and fooling others. This is not in the best interest of the sufferer.
So as hard as it sounds, even if you as parents have not suffered from an eating disorder yourself, you are still the best support system for your child. Stay strong, and be confident that you can do it. Recovery is possible and you will get there.