It gets a bit complicated when you have many authors all contributing to a github repo. Some projects require the authors to sign off so that the copyright is assigned to a single entity, that makes relicensing easy. With an open source project like Zig it might be complicated to relicense since you have many contributors.
It seems that Zig should maintain a contributors file since they have chosen the joint copyright model with the MIT license. They could then refer to that in a copyright notice, which could be a single line per file.
On the Zen side however there seems to be a gross misunderstanding of copyright. Just because you make some changes to a source file (or no changes at all) does not allow you to completely reasign the copyright to yourself.
On the Zig side it would be better to include copyright notices with the files and maybe consider relicensing to GPL to avoid these situtations in the first place. Unfortunately many authors today are choosing non-copy left licences which might go against their intentions and probably their interests as well as software creators.