Two branches want to update the same dependency? With a lockfile, they both update the lockfile and will have a merge conflict (assuming the updates aren't identical). With "minimal versions", they both update the file that declares the dependency, and, you guessed it, have a merge conflict.
The big difference with the MVS strategy in vgo is that the dependency list of a dependency is actually used to determine the version. If package A uses B, which was tested with v1.2 of package C, you will get v1.2 of C, even if there is a later version of C available.
In the typical package manager scenario, the dependency list of B may be pointing to an old version of C which does not even work with B - there is generally no way to ask : give me the latest version of C which was tested with B.