No. I have groups of kids decorate cookies several times a year and each kid has their own cookies and icing.
We baked and decorate cookies for a bake sale recently and while my 8yr old did 90% of the work, it was under VERY close supervision.
At the holidays my kids like to decorate cookies. I always pick 1-3 shapes that are “kid cookies” and I discreetly let guests know so they can make their own decision.