Yes this solves it partially. The thing is that people assume that the green lock correspond to the domain name. It would be completely solved, if the browser would still show the validated company name, like it used to be, and then people would only validate that and the CA also validating that there are no similar names. The latter would essentially mean that there is a global coordination of CAs and that there only one entity on the whole world could have the same name, i.e. we only have one jurisdiction.