Interesting question.
First, I know nothing about early reformation in Wurttemberg so I don't know whether this is of importance for Hapsburg rule. I suppose the Hapsburgs would keep Wurttemberg catholic.
Anyway, Further Austria is a lot larger ITTL. As most other rulers in south western Germany are smaller, the Hapsburgs will clearly dominate the region and likely preserve catholicism at a broader scale, maybe making the whole south of Germany catholic (Baden-Wurttemberg becoming as catholic as Bavaria).
At last, I think any increase of Hapsburg power also increases the chances of a stronger Empire and a more centralized state. Nevertheless, Wurttemberg alone will not likely achieve this.