Hi Joseph, here's a an alternative suggestion for you.
Walking to the cathedral from Monte de Gozo is a pavement walk into the city. I think its merit would be in walking beside and meeting other excited pilgrims who started from further away and are just about to achieve the completion of their pilgrimage. As a flavour of the camino walking experience it has few features to recommend it.
If you look at a map of Santiago you'll see that it is a large urban conurbation. However, in one small corner on the west side it gives way to countryside in less than a kilometre from the cathedral. This also happens to include the camino path to Muxia and Finisterre. You could walk from the cathedral (and try!) and follow the camino arrows and markers towards Finisterr for two or three kilometres. Then you could either turn round and walk back or phone for a taxi from one of the little suburban settlements. The path will take you through some eucalyptus woods, which are typical of much of the walking in Galicia. You can see the path and decide whether it would work for you by viewing it on the map Mapy.cz selecting the 'outdor' map option.
Cheers, tom