Michal,
If you add content in Share and then add the aspect Versionable to it through the "Manage Aspects" action, your content will get this aspect with its default properties which includes the "cm:autoVersionOnUpdateProps" set to true ie, you will get exactly what you want.
However If you just upload some content and then uses the Share action "Upload New Version" the REST API that Share uses seems to set the cm:autoVersionOnUpdateProps to false after adding the Versionable aspect.
I guess that if you create a rule on the document library that automatically adds the Versionable aspect to all you content (or a preferred subset) directly upon upload you will have the behaviour you are asking for.
Have a nice weekend!
/Erik