Such a case would only come about if a government proposed to seize the schools or hospitals and the church(es) sought to invoke Art. 44 to block it. Since the government didn't attempt any such manoeuvre when the church was mired in scandal it's very unlikely that it ever will.It would make for an interesting case in the courts. If the constitution can override a specific exemption allowed to the Minister for Finance under the term 'common good' or whether the exemption holds over the specific protections for property anywhere mentioned in the constitution.
It would be a case well taken in order to get a tighter definition and to lend precedence to the term 'common good'.
The government would surely be defeated because everything in Art 44 would be against it.