The Social Democrats and Catholic Center Party might benefit nationally, I'd think.
This-
plus Catholic Center aligned parliamentary complaints about the situation of Germans in south Tyrol and Sudetenland, with Italy and Czechoslovakia getting more concerned and rearming and fortifying earlier.
Both Germany and Austria were militarily weak at the time. How would Mussolini have felt about a military intervention in the late 20s early 30s? Would he get Czech support? On the one hand, everyone Rome is stronger, but it is not necessarilly very militarized or ready to initiate a policy of force and occupation against a foreign population's wishes at this stage of the Fascist regime.
France could and would and did use all manner of financial and diplomatic and threats against Anschluss, but would it in the end be willing to invade Germany in the 1928-1933 era if Weimar and Vienna were determined not to be intimidated?