Is that a productive idea to push?

Not to say you're wrong, but some hard human problems to solve are:

- getting people to not be defensive during code reviews

- getting people willing to be critical (constructively) of their peers work

Emphasizing that code reviews with productive design comments indicates a failing seems more likely to stop the comments, not to improve the design. Most people wont want to do the work multiple times and will quickly learn to do as you desire in the face of repeated code reviews that have comments pointing out design problems.