23 karma · joined August 31, 2019
It doesn't as of a recent update (due to continued stability issues at Imgur). The default behavior is to not upload anymore.
Additionally ShareX pops up a big red warning telling you that you're about to upload. There are some forks (see: ShareNot) that explicitly remove any uploading, but by default there is a registry key, a setting, and a big warning that you can enable that disables uploading.
I do find myself editing my obsidian files inside of Typora on a semi-regular basis.