The "Anschluss" happened in 1938 not in 1936.
And yes, it did make absolute sense for Austria to become a part of Germany back then. Austria had been a German state throughout its existence and it was only in 1866 that the Austrian Habsburg Empire and Germany went different ways because of the Austro-Prussian War.
There were even attempts and large support to unify Germany and Austria directly after WW1 when both countries lost their monarchies but it wasn't allowed by the Allies. In 1938 there was still large support for this unification in both countries so why wouldn't it make sense ?
Your take is historically wrong. Austria was never a German state, especially not several decades, before Germany was founded.
There was a strong support for the Anschluss initially, but as soon as Austrian Nazis started to murder opposition politicians, the public opinion grew against it, and in 1938, the majority was opposed to it. That's why the nazis scrapped a planned referendum on the issue, they knew, they would have humilitated themself in the home of the Führer.
Just as in Crimea, the Nazis used Ethnic nationalism to take over, then silence the opposition to manufacture some kind of artificial consent for the Global Press.