Game is reporting as V1.0 and not updating v1.02. Both Steam and Uplay have been installed in a folder other than Program Files(x86) so I don't think UAC is preventing the update.
Does anyone's version of BD report as anything other than V1.0? Maybe the version number remains the same?
I would contact Steam support regarding the update of blood dragon. If you are able to reset the Garrions under options> gameplay, you have the latest version of the game installed. This may have been something that was not updated in the steam version visually. However, it should be updated. If you are unable to do so, please let the Support team know. You may contact Support using the links in my signature below. Thanks.