Do you think it would be possible to conquer Austria then? Or Italy, for that matter? The latter could become problematic, though, since you'd have to rely on them to agree to a peace ceding some territory, due to Switzerland not having any port province where to deploy transports.
Yeah but you will weaken Germany alot which is great if you want to backstab later or leave the Alliance before Aug 30 39. You would have to invade Austria before March 38 and you would be looking at a difficult winter fight, or a 37 invasion. Also Italy will likely DoW you IIRC.