I think this is primarily a misunderstanding of how git works. When you click commit, if that commit has a parent, git will make sure that this parent is also in the remote repository. In addition to the rare clones (which may be useful for conserving bandwidth and / or disk usage, but impose some restrictions on how you can interact with remote repositories), git is designed to ensure that the database of objects is complete and consistent. The completeness / consistency will be broken if you can push commit without having the parents also be in the repository. Thus, by design, you cannot just push a single commit without git to make sure that the line fix is maintained.
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