The head WILL come off ..... it is simply a matter of what method will do the job most easily and with no damage!!!
I have heard of the nylon rope method before but have never tried it. It is sound in principle, but I have yet to meet anyone who has used it. My concern is that somewhere there will be something still securing the head, maybe a nut not removed and so there is that potential for damage!!! Please note that I am a renowned worrier!!!
Pretty much guaranteed, but a lot of work is to use the method I employed on the B20. It requires making a puller consisting of a steel plate drilled to match the rocker shaft securing studs and the head studs. The holes matching the head studs are tapped. MO ... bolt the plate onto the head using the rocker shaft studs. Insert bolts into the threaded holes over the head studs. Tighten these bolts down evenly to bear onto the ends of the head studs thus lifting the head in a controlled, level manner. A lot of work, but it does the job!!!!
I should add here that I have not done this on an Appia and assume that rocker shaft studs and head studs are arrayed in a suitable manner.
Good luck!!
Andy